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Finding the Third Proportional to 103,715 and 157,432

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Solution

The third proportional to 103,715 and 157,432 is: 238,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,715 : 157,432 = 157,432 : x
  2. Step 2: Convert to fraction form
    103,715/157,432 = 157,432/x
  3. Step 3: Cross multiply
    103,715x = 157,432 × 157,432
  4. Step 4: Simplify right side
    103,715x = 24,784,834,624
  5. Step 5: Solve for x
    x = 24,784,834,624/103,715
  6. Step 6: Final answer
    x = 238,970.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.