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Finding the Third Proportional to 281,970,601.88 and 431,060,376.38

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Solution

The third proportional to 281,970,601.88 and 431,060,376.38 is: 658,980,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,970,601.88 : 431,060,376.38 = 431,060,376.38 : x
  2. Step 2: Convert to fraction form
    281,970,601.88/431,060,376.38 = 431,060,376.38/x
  3. Step 3: Cross multiply
    281,970,601.88x = 431,060,376.38 × 431,060,376.38
  4. Step 4: Simplify right side
    281,970,601.88x = 185,813,048,080,556,672
  5. Step 5: Solve for x
    x = 185,813,048,080,556,672/281,970,601.88
  6. Step 6: Final answer
    x = 658,980,215.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.