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Finding the Third Proportional to 417,862.50 and 636,588.75

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Solution

The third proportional to 417,862.50 and 636,588.75 is: 969,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,862.50 : 636,588.75 = 636,588.75 : x
  2. Step 2: Convert to fraction form
    417,862.50/636,588.75 = 636,588.75/x
  3. Step 3: Cross multiply
    417,862.50x = 636,588.75 × 636,588.75
  4. Step 4: Simplify right side
    417,862.50x = 405,245,236,626.56
  5. Step 5: Solve for x
    x = 405,245,236,626.56/417,862.50
  6. Step 6: Final answer
    x = 969,805.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.