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Finding the Third Proportional to 343,180 and 517,468

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Solution

The third proportional to 343,180 and 517,468 is: 780,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,180 : 517,468 = 517,468 : x
  2. Step 2: Convert to fraction form
    343,180/517,468 = 517,468/x
  3. Step 3: Cross multiply
    343,180x = 517,468 × 517,468
  4. Step 4: Simplify right side
    343,180x = 267,773,131,024
  5. Step 5: Solve for x
    x = 267,773,131,024/343,180
  6. Step 6: Final answer
    x = 780,270.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.