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Finding the Third Proportional to 78,403 and 117,781

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Solution

The third proportional to 78,403 and 117,781 is: 176,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,403 : 117,781 = 117,781 : x
  2. Step 2: Convert to fraction form
    78,403/117,781 = 117,781/x
  3. Step 3: Cross multiply
    78,403x = 117,781 × 117,781
  4. Step 4: Simplify right side
    78,403x = 13,872,363,961
  5. Step 5: Solve for x
    x = 13,872,363,961/78,403
  6. Step 6: Final answer
    x = 176,936.65

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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.