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Finding the Third Proportional to 287,724 and 451,348

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Solution

The third proportional to 287,724 and 451,348 is: 708,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,724 : 451,348 = 451,348 : x
  2. Step 2: Convert to fraction form
    287,724/451,348 = 451,348/x
  3. Step 3: Cross multiply
    287,724x = 451,348 × 451,348
  4. Step 4: Simplify right side
    287,724x = 203,715,017,104
  5. Step 5: Solve for x
    x = 203,715,017,104/287,724
  6. Step 6: Final answer
    x = 708,022.33

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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.