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Finding the Third Proportional to 321,847.17 and 472,917.87

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Solution

The third proportional to 321,847.17 and 472,917.87 is: 694,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,847.17 : 472,917.87 = 472,917.87 : x
  2. Step 2: Convert to fraction form
    321,847.17/472,917.87 = 472,917.87/x
  3. Step 3: Cross multiply
    321,847.17x = 472,917.87 × 472,917.87
  4. Step 4: Simplify right side
    321,847.17x = 223,651,309,105.17
  5. Step 5: Solve for x
    x = 223,651,309,105.17/321,847.17
  6. Step 6: Final answer
    x = 694,899.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.