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Finding the Third Proportional to 83,040.19 and 128,935.13

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Solution

The third proportional to 83,040.19 and 128,935.13 is: 200,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,040.19 : 128,935.13 = 128,935.13 : x
  2. Step 2: Convert to fraction form
    83,040.19/128,935.13 = 128,935.13/x
  3. Step 3: Cross multiply
    83,040.19x = 128,935.13 × 128,935.13
  4. Step 4: Simplify right side
    83,040.19x = 16,624,266,458.77
  5. Step 5: Solve for x
    x = 16,624,266,458.77/83,040.19
  6. Step 6: Final answer
    x = 200,195.43

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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.