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Finding the Third Proportional to 78,534 and 121,737

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Solution

The third proportional to 78,534 and 121,737 is: 188,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,534 : 121,737 = 121,737 : x
  2. Step 2: Convert to fraction form
    78,534/121,737 = 121,737/x
  3. Step 3: Cross multiply
    78,534x = 121,737 × 121,737
  4. Step 4: Simplify right side
    78,534x = 14,819,897,169
  5. Step 5: Solve for x
    x = 14,819,897,169/78,534
  6. Step 6: Final answer
    x = 188,706.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.