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Finding the Third Proportional to 287,862 and 451,516

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Solution

The third proportional to 287,862 and 451,516 is: 708,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,862 : 451,516 = 451,516 : x
  2. Step 2: Convert to fraction form
    287,862/451,516 = 451,516/x
  3. Step 3: Cross multiply
    287,862x = 451,516 × 451,516
  4. Step 4: Simplify right side
    287,862x = 203,866,698,256
  5. Step 5: Solve for x
    x = 203,866,698,256/287,862
  6. Step 6: Final answer
    x = 708,209.83

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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.