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Finding the Third Proportional to 137,408 and 218,572

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Solution

The third proportional to 137,408 and 218,572 is: 347,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,408 : 218,572 = 218,572 : x
  2. Step 2: Convert to fraction form
    137,408/218,572 = 218,572/x
  3. Step 3: Cross multiply
    137,408x = 218,572 × 218,572
  4. Step 4: Simplify right side
    137,408x = 47,773,719,184
  5. Step 5: Solve for x
    x = 47,773,719,184/137,408
  6. Step 6: Final answer
    x = 347,677.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.