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Finding the Third Proportional to 137,392 and 217,720

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Solution

The third proportional to 137,392 and 217,720 is: 345,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,392 : 217,720 = 217,720 : x
  2. Step 2: Convert to fraction form
    137,392/217,720 = 217,720/x
  3. Step 3: Cross multiply
    137,392x = 217,720 × 217,720
  4. Step 4: Simplify right side
    137,392x = 47,401,998,400
  5. Step 5: Solve for x
    x = 47,401,998,400/137,392
  6. Step 6: Final answer
    x = 345,012.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.