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Finding the Third Proportional to 317,408 and 661,120

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Solution

The third proportional to 317,408 and 661,120 is: 1,377,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,408 : 661,120 = 661,120 : x
  2. Step 2: Convert to fraction form
    317,408/661,120 = 661,120/x
  3. Step 3: Cross multiply
    317,408x = 661,120 × 661,120
  4. Step 4: Simplify right side
    317,408x = 437,079,654,400
  5. Step 5: Solve for x
    x = 437,079,654,400/317,408
  6. Step 6: Final answer
    x = 1,377,027.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.