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Finding the Third Proportional to 340,939 and 717,113

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Solution

The third proportional to 340,939 and 717,113 is: 1,508,337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,939 : 717,113 = 717,113 : x
  2. Step 2: Convert to fraction form
    340,939/717,113 = 717,113/x
  3. Step 3: Cross multiply
    340,939x = 717,113 × 717,113
  4. Step 4: Simplify right side
    340,939x = 514,251,054,769
  5. Step 5: Solve for x
    x = 514,251,054,769/340,939
  6. Step 6: Final answer
    x = 1,508,337.43

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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.