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Finding the Third Proportional to 343,172 and 517,458

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Solution

The third proportional to 343,172 and 517,458 is: 780,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,172 : 517,458 = 517,458 : x
  2. Step 2: Convert to fraction form
    343,172/517,458 = 517,458/x
  3. Step 3: Cross multiply
    343,172x = 517,458 × 517,458
  4. Step 4: Simplify right side
    343,172x = 267,762,781,764
  5. Step 5: Solve for x
    x = 267,762,781,764/343,172
  6. Step 6: Final answer
    x = 780,258.24

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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.