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Finding the Third Proportional to 78,657.75 and 100,892.25

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Solution

The third proportional to 78,657.75 and 100,892.25 is: 129,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,657.75 : 100,892.25 = 100,892.25 : x
  2. Step 2: Convert to fraction form
    78,657.75/100,892.25 = 100,892.25/x
  3. Step 3: Cross multiply
    78,657.75x = 100,892.25 × 100,892.25
  4. Step 4: Simplify right side
    78,657.75x = 10,179,246,110.06
  5. Step 5: Solve for x
    x = 10,179,246,110.06/78,657.75
  6. Step 6: Final answer
    x = 129,411.86

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.