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Finding the Third Proportional to 340,940 and 717,115

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Solution

The third proportional to 340,940 and 717,115 is: 1,508,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,940 : 717,115 = 717,115 : x
  2. Step 2: Convert to fraction form
    340,940/717,115 = 717,115/x
  3. Step 3: Cross multiply
    340,940x = 717,115 × 717,115
  4. Step 4: Simplify right side
    340,940x = 514,253,923,225
  5. Step 5: Solve for x
    x = 514,253,923,225/340,940
  6. Step 6: Final answer
    x = 1,508,341.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.