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Finding the Third Proportional to 78,428.25 and 118,378.13

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Solution

The third proportional to 78,428.25 and 118,378.13 is: 178,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,428.25 : 118,378.13 = 118,378.13 : x
  2. Step 2: Convert to fraction form
    78,428.25/118,378.13 = 118,378.13/x
  3. Step 3: Cross multiply
    78,428.25x = 118,378.13 × 118,378.13
  4. Step 4: Simplify right side
    78,428.25x = 14,013,380,478.52
  5. Step 5: Solve for x
    x = 14,013,380,478.52/78,428.25
  6. Step 6: Final answer
    x = 178,677.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.