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Finding the Third Proportional to 343,143 and 517,239

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Solution

The third proportional to 343,143 and 517,239 is: 779,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,143 : 517,239 = 517,239 : x
  2. Step 2: Convert to fraction form
    343,143/517,239 = 517,239/x
  3. Step 3: Cross multiply
    343,143x = 517,239 × 517,239
  4. Step 4: Simplify right side
    343,143x = 267,536,183,121
  5. Step 5: Solve for x
    x = 267,536,183,121/343,143
  6. Step 6: Final answer
    x = 779,663.82

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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.