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Finding the Third Proportional to 85,352 and 129,207

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Solution

The third proportional to 85,352 and 129,207 is: 195,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,352 : 129,207 = 129,207 : x
  2. Step 2: Convert to fraction form
    85,352/129,207 = 129,207/x
  3. Step 3: Cross multiply
    85,352x = 129,207 × 129,207
  4. Step 4: Simplify right side
    85,352x = 16,694,448,849
  5. Step 5: Solve for x
    x = 16,694,448,849/85,352
  6. Step 6: Final answer
    x = 195,595.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.