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Finding the Third Proportional to 81,031.13 and 128,206.13

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Solution

The third proportional to 81,031.13 and 128,206.13 is: 202,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,031.13 : 128,206.13 = 128,206.13 : x
  2. Step 2: Convert to fraction form
    81,031.13/128,206.13 = 128,206.13/x
  3. Step 3: Cross multiply
    81,031.13x = 128,206.13 × 128,206.13
  4. Step 4: Simplify right side
    81,031.13x = 16,436,810,487.52
  5. Step 5: Solve for x
    x = 16,436,810,487.52/81,031.13
  6. Step 6: Final answer
    x = 202,845.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.