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Finding the Third Proportional to 288,640.50 and 452,787

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Solution

The third proportional to 288,640.50 and 452,787 is: 710,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,640.50 : 452,787 = 452,787 : x
  2. Step 2: Convert to fraction form
    288,640.50/452,787 = 452,787/x
  3. Step 3: Cross multiply
    288,640.50x = 452,787 × 452,787
  4. Step 4: Simplify right side
    288,640.50x = 205,016,067,369
  5. Step 5: Solve for x
    x = 205,016,067,369/288,640.50
  6. Step 6: Final answer
    x = 710,281.71

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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.