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Finding the Third Proportional to 296,077.78 and 421,972.03

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Solution

The third proportional to 296,077.78 and 421,972.03 is: 601,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,077.78 : 421,972.03 = 421,972.03 : x
  2. Step 2: Convert to fraction form
    296,077.78/421,972.03 = 421,972.03/x
  3. Step 3: Cross multiply
    296,077.78x = 421,972.03 × 421,972.03
  4. Step 4: Simplify right side
    296,077.78x = 178,060,395,157.25
  5. Step 5: Solve for x
    x = 178,060,395,157.25/296,077.78
  6. Step 6: Final answer
    x = 601,397.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.