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Finding the Third Proportional to 218,032 and 337,720

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Solution

The third proportional to 218,032 and 337,720 is: 523,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,032 : 337,720 = 337,720 : x
  2. Step 2: Convert to fraction form
    218,032/337,720 = 337,720/x
  3. Step 3: Cross multiply
    218,032x = 337,720 × 337,720
  4. Step 4: Simplify right side
    218,032x = 114,054,798,400
  5. Step 5: Solve for x
    x = 114,054,798,400/218,032
  6. Step 6: Final answer
    x = 523,110.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.