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Finding the Third Proportional to 287,764 and 451,432

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Solution

The third proportional to 287,764 and 451,432 is: 708,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,764 : 451,432 = 451,432 : x
  2. Step 2: Convert to fraction form
    287,764/451,432 = 451,432/x
  3. Step 3: Cross multiply
    287,764x = 451,432 × 451,432
  4. Step 4: Simplify right side
    287,764x = 203,790,850,624
  5. Step 5: Solve for x
    x = 203,790,850,624/287,764
  6. Step 6: Final answer
    x = 708,187.44

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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.