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Finding the Third Proportional to 83,485.69 and 129,348.14

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Solution

The third proportional to 83,485.69 and 129,348.14 is: 200,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,485.69 : 129,348.14 = 129,348.14 : x
  2. Step 2: Convert to fraction form
    83,485.69/129,348.14 = 129,348.14/x
  3. Step 3: Cross multiply
    83,485.69x = 129,348.14 × 129,348.14
  4. Step 4: Simplify right side
    83,485.69x = 16,730,941,483.14
  5. Step 5: Solve for x
    x = 16,730,941,483.14/83,485.69
  6. Step 6: Final answer
    x = 200,404.91

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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.