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Finding the Third Proportional to 83,789 and 117,207

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Solution

The third proportional to 83,789 and 117,207 is: 163,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,789 : 117,207 = 117,207 : x
  2. Step 2: Convert to fraction form
    83,789/117,207 = 117,207/x
  3. Step 3: Cross multiply
    83,789x = 117,207 × 117,207
  4. Step 4: Simplify right side
    83,789x = 13,737,480,849
  5. Step 5: Solve for x
    x = 13,737,480,849/83,789
  6. Step 6: Final answer
    x = 163,953.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.