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Finding the Third Proportional to 138,940 and 299,492

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Solution

The third proportional to 138,940 and 299,492 is: 645,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,940 : 299,492 = 299,492 : x
  2. Step 2: Convert to fraction form
    138,940/299,492 = 299,492/x
  3. Step 3: Cross multiply
    138,940x = 299,492 × 299,492
  4. Step 4: Simplify right side
    138,940x = 89,695,458,064
  5. Step 5: Solve for x
    x = 89,695,458,064/138,940
  6. Step 6: Final answer
    x = 645,569.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.