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Finding the Third Proportional to 218,532 and 337,503

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Solution

The third proportional to 218,532 and 337,503 is: 521,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,532 : 337,503 = 337,503 : x
  2. Step 2: Convert to fraction form
    218,532/337,503 = 337,503/x
  3. Step 3: Cross multiply
    218,532x = 337,503 × 337,503
  4. Step 4: Simplify right side
    218,532x = 113,908,275,009
  5. Step 5: Solve for x
    x = 113,908,275,009/218,532
  6. Step 6: Final answer
    x = 521,243.00

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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.