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Finding the Third Proportional to 395,168,577,722.42 and 533,175,194,772

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Solution

The third proportional to 395,168,577,722.42 and 533,175,194,772 is: 719,378,524,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,168,577,722.42 : 533,175,194,772 = 533,175,194,772 : x
  2. Step 2: Convert to fraction form
    395,168,577,722.42/533,175,194,772 = 533,175,194,772/x
  3. Step 3: Cross multiply
    395,168,577,722.42x = 533,175,194,772 × 533,175,194,772
  4. Step 4: Simplify right side
    395,168,577,722.42x = 284,275,788,320,160,134,201,344
  5. Step 5: Solve for x
    x = 284,275,788,320,160,134,201,344/395,168,577,722.42
  6. Step 6: Final answer
    x = 719,378,524,372.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.