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Finding the Third Proportional to 287,723 and 451,344

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Solution

The third proportional to 287,723 and 451,344 is: 708,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,723 : 451,344 = 451,344 : x
  2. Step 2: Convert to fraction form
    287,723/451,344 = 451,344/x
  3. Step 3: Cross multiply
    287,723x = 451,344 × 451,344
  4. Step 4: Simplify right side
    287,723x = 203,711,406,336
  5. Step 5: Solve for x
    x = 203,711,406,336/287,723
  6. Step 6: Final answer
    x = 708,012.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.