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Finding the Third Proportional to 103,721 and 157,441

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Solution

The third proportional to 103,721 and 157,441 is: 238,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,721 : 157,441 = 157,441 : x
  2. Step 2: Convert to fraction form
    103,721/157,441 = 157,441/x
  3. Step 3: Cross multiply
    103,721x = 157,441 × 157,441
  4. Step 4: Simplify right side
    103,721x = 24,787,668,481
  5. Step 5: Solve for x
    x = 24,787,668,481/103,721
  6. Step 6: Final answer
    x = 238,984.09

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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.