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Finding the Third Proportional to 218,534 and 337,505

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Solution

The third proportional to 218,534 and 337,505 is: 521,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,534 : 337,505 = 337,505 : x
  2. Step 2: Convert to fraction form
    218,534/337,505 = 337,505/x
  3. Step 3: Cross multiply
    218,534x = 337,505 × 337,505
  4. Step 4: Simplify right side
    218,534x = 113,909,625,025
  5. Step 5: Solve for x
    x = 113,909,625,025/218,534
  6. Step 6: Final answer
    x = 521,244.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.