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Finding the Third Proportional to 83,345.63 and 129,088.69

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Solution

The third proportional to 83,345.63 and 129,088.69 is: 199,937.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,345.63 : 129,088.69 = 129,088.69 : x
  2. Step 2: Convert to fraction form
    83,345.63/129,088.69 = 129,088.69/x
  3. Step 3: Cross multiply
    83,345.63x = 129,088.69 × 129,088.69
  4. Step 4: Simplify right side
    83,345.63x = 16,663,889,240.47
  5. Step 5: Solve for x
    x = 16,663,889,240.47/83,345.63
  6. Step 6: Final answer
    x = 199,937.18

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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.