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Finding the Third Proportional to 287,728.50 and 451,350

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Solution

The third proportional to 287,728.50 and 451,350 is: 708,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,728.50 : 451,350 = 451,350 : x
  2. Step 2: Convert to fraction form
    287,728.50/451,350 = 451,350/x
  3. Step 3: Cross multiply
    287,728.50x = 451,350 × 451,350
  4. Step 4: Simplify right side
    287,728.50x = 203,716,822,500
  5. Step 5: Solve for x
    x = 203,716,822,500/287,728.50
  6. Step 6: Final answer
    x = 708,017.53

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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.