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Finding the Third Proportional to 78,160 and 121,206

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Solution

The third proportional to 78,160 and 121,206 is: 187,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,160 : 121,206 = 121,206 : x
  2. Step 2: Convert to fraction form
    78,160/121,206 = 121,206/x
  3. Step 3: Cross multiply
    78,160x = 121,206 × 121,206
  4. Step 4: Simplify right side
    78,160x = 14,690,894,436
  5. Step 5: Solve for x
    x = 14,690,894,436/78,160
  6. Step 6: Final answer
    x = 187,959.24

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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.