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Finding the Third Proportional to 157,412 and 245,531

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Solution

The third proportional to 157,412 and 245,531 is: 382,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,412 : 245,531 = 245,531 : x
  2. Step 2: Convert to fraction form
    157,412/245,531 = 245,531/x
  3. Step 3: Cross multiply
    157,412x = 245,531 × 245,531
  4. Step 4: Simplify right side
    157,412x = 60,285,471,961
  5. Step 5: Solve for x
    x = 60,285,471,961/157,412
  6. Step 6: Final answer
    x = 382,978.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.