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Finding the Third Proportional to 472,887.75 and 663,555.38

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Solution

The third proportional to 472,887.75 and 663,555.38 is: 931,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,887.75 : 663,555.38 = 663,555.38 : x
  2. Step 2: Convert to fraction form
    472,887.75/663,555.38 = 663,555.38/x
  3. Step 3: Cross multiply
    472,887.75x = 663,555.38 × 663,555.38
  4. Step 4: Simplify right side
    472,887.75x = 440,305,735,691.39
  5. Step 5: Solve for x
    x = 440,305,735,691.39/472,887.75
  6. Step 6: Final answer
    x = 931,099.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.