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Finding the Third Proportional to 219,390 and 337,068

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Solution

The third proportional to 219,390 and 337,068 is: 517,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,390 : 337,068 = 337,068 : x
  2. Step 2: Convert to fraction form
    219,390/337,068 = 337,068/x
  3. Step 3: Cross multiply
    219,390x = 337,068 × 337,068
  4. Step 4: Simplify right side
    219,390x = 113,614,836,624
  5. Step 5: Solve for x
    x = 113,614,836,624/219,390
  6. Step 6: Final answer
    x = 517,866.98

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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.