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Finding the Third Proportional to 137,406 and 292,812

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Solution

The third proportional to 137,406 and 292,812 is: 623,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,406 : 292,812 = 292,812 : x
  2. Step 2: Convert to fraction form
    137,406/292,812 = 292,812/x
  3. Step 3: Cross multiply
    137,406x = 292,812 × 292,812
  4. Step 4: Simplify right side
    137,406x = 85,738,867,344
  5. Step 5: Solve for x
    x = 85,738,867,344/137,406
  6. Step 6: Final answer
    x = 623,981.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.