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Finding the Third Proportional to 83,570 and 129,464

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Solution

The third proportional to 83,570 and 129,464 is: 200,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,570 : 129,464 = 129,464 : x
  2. Step 2: Convert to fraction form
    83,570/129,464 = 129,464/x
  3. Step 3: Cross multiply
    83,570x = 129,464 × 129,464
  4. Step 4: Simplify right side
    83,570x = 16,760,927,296
  5. Step 5: Solve for x
    x = 16,760,927,296/83,570
  6. Step 6: Final answer
    x = 200,561.53

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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.