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Finding the Third Proportional to 83,610 and 129,515

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Solution

The third proportional to 83,610 and 129,515 is: 200,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,610 : 129,515 = 129,515 : x
  2. Step 2: Convert to fraction form
    83,610/129,515 = 129,515/x
  3. Step 3: Cross multiply
    83,610x = 129,515 × 129,515
  4. Step 4: Simplify right side
    83,610x = 16,774,135,225
  5. Step 5: Solve for x
    x = 16,774,135,225/83,610
  6. Step 6: Final answer
    x = 200,623.55

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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.