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Finding the Third Proportional to 459,906 and 717,831

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Solution

The third proportional to 459,906 and 717,831 is: 1,120,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,906 : 717,831 = 717,831 : x
  2. Step 2: Convert to fraction form
    459,906/717,831 = 717,831/x
  3. Step 3: Cross multiply
    459,906x = 717,831 × 717,831
  4. Step 4: Simplify right side
    459,906x = 515,281,344,561
  5. Step 5: Solve for x
    x = 515,281,344,561/459,906
  6. Step 6: Final answer
    x = 1,120,405.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.