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Finding the Third Proportional to 102,809.25 and 157,129.88

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Solution

The third proportional to 102,809.25 and 157,129.88 is: 240,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,809.25 : 157,129.88 = 157,129.88 : x
  2. Step 2: Convert to fraction form
    102,809.25/157,129.88 = 157,129.88/x
  3. Step 3: Cross multiply
    102,809.25x = 157,129.88 × 157,129.88
  4. Step 4: Simplify right side
    102,809.25x = 24,689,797,617.52
  5. Step 5: Solve for x
    x = 24,689,797,617.52/102,809.25
  6. Step 6: Final answer
    x = 240,151.52

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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.