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Finding the Third Proportional to 108,439 and 234,981

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Solution

The third proportional to 108,439 and 234,981 is: 509,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,439 : 234,981 = 234,981 : x
  2. Step 2: Convert to fraction form
    108,439/234,981 = 234,981/x
  3. Step 3: Cross multiply
    108,439x = 234,981 × 234,981
  4. Step 4: Simplify right side
    108,439x = 55,216,070,361
  5. Step 5: Solve for x
    x = 55,216,070,361/108,439
  6. Step 6: Final answer
    x = 509,190.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.