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Finding the Third Proportional to 287,938 and 451,650

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Solution

The third proportional to 287,938 and 451,650 is: 708,443.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,938 : 451,650 = 451,650 : x
  2. Step 2: Convert to fraction form
    287,938/451,650 = 451,650/x
  3. Step 3: Cross multiply
    287,938x = 451,650 × 451,650
  4. Step 4: Simplify right side
    287,938x = 203,987,722,500
  5. Step 5: Solve for x
    x = 203,987,722,500/287,938
  6. Step 6: Final answer
    x = 708,443.22

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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.