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Finding the Third Proportional to 458,469 and 708,479

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Solution

The third proportional to 458,469 and 708,479 is: 1,094,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,469 : 708,479 = 708,479 : x
  2. Step 2: Convert to fraction form
    458,469/708,479 = 708,479/x
  3. Step 3: Cross multiply
    458,469x = 708,479 × 708,479
  4. Step 4: Simplify right side
    458,469x = 501,942,493,441
  5. Step 5: Solve for x
    x = 501,942,493,441/458,469
  6. Step 6: Final answer
    x = 1,094,823.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.