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Finding the Third Proportional to 82,359 and 115,661

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Solution

The third proportional to 82,359 and 115,661 is: 162,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,359 : 115,661 = 115,661 : x
  2. Step 2: Convert to fraction form
    82,359/115,661 = 115,661/x
  3. Step 3: Cross multiply
    82,359x = 115,661 × 115,661
  4. Step 4: Simplify right side
    82,359x = 13,377,466,921
  5. Step 5: Solve for x
    x = 13,377,466,921/82,359
  6. Step 6: Final answer
    x = 162,428.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.