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Finding the Third Proportional to 42,789 and 103,082

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Solution

The third proportional to 42,789 and 103,082 is: 248,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,789 : 103,082 = 103,082 : x
  2. Step 2: Convert to fraction form
    42,789/103,082 = 103,082/x
  3. Step 3: Cross multiply
    42,789x = 103,082 × 103,082
  4. Step 4: Simplify right side
    42,789x = 10,625,898,724
  5. Step 5: Solve for x
    x = 10,625,898,724/42,789
  6. Step 6: Final answer
    x = 248,332.49

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.