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Finding the Third Proportional to 78,742.13 and 161,098.88

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Solution

The third proportional to 78,742.13 and 161,098.88 is: 329,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,742.13 : 161,098.88 = 161,098.88 : x
  2. Step 2: Convert to fraction form
    78,742.13/161,098.88 = 161,098.88/x
  3. Step 3: Cross multiply
    78,742.13x = 161,098.88 × 161,098.88
  4. Step 4: Simplify right side
    78,742.13x = 25,952,847,526.27
  5. Step 5: Solve for x
    x = 25,952,847,526.27/78,742.13
  6. Step 6: Final answer
    x = 329,592.93

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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.