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Finding the Third Proportional to 78,882 and 118,359

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Solution

The third proportional to 78,882 and 118,359 is: 177,592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,882 : 118,359 = 118,359 : x
  2. Step 2: Convert to fraction form
    78,882/118,359 = 118,359/x
  3. Step 3: Cross multiply
    78,882x = 118,359 × 118,359
  4. Step 4: Simplify right side
    78,882x = 14,008,852,881
  5. Step 5: Solve for x
    x = 14,008,852,881/78,882
  6. Step 6: Final answer
    x = 177,592.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.