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Finding the Third Proportional to 78,748 and 106,092

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Solution

The third proportional to 78,748 and 106,092 is: 142,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,748 : 106,092 = 106,092 : x
  2. Step 2: Convert to fraction form
    78,748/106,092 = 106,092/x
  3. Step 3: Cross multiply
    78,748x = 106,092 × 106,092
  4. Step 4: Simplify right side
    78,748x = 11,255,512,464
  5. Step 5: Solve for x
    x = 11,255,512,464/78,748
  6. Step 6: Final answer
    x = 142,930.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.