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Finding the Third Proportional to 76,691.50 and 157,101.50

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Solution

The third proportional to 76,691.50 and 157,101.50 is: 321,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,691.50 : 157,101.50 = 157,101.50 : x
  2. Step 2: Convert to fraction form
    76,691.50/157,101.50 = 157,101.50/x
  3. Step 3: Cross multiply
    76,691.50x = 157,101.50 × 157,101.50
  4. Step 4: Simplify right side
    76,691.50x = 24,680,881,302.25
  5. Step 5: Solve for x
    x = 24,680,881,302.25/76,691.50
  6. Step 6: Final answer
    x = 321,820.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.