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Finding the Third Proportional to 419,134.50 and 663,972.19

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Solution

The third proportional to 419,134.50 and 663,972.19 is: 1,051,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,134.50 : 663,972.19 = 663,972.19 : x
  2. Step 2: Convert to fraction form
    419,134.50/663,972.19 = 663,972.19/x
  3. Step 3: Cross multiply
    419,134.50x = 663,972.19 × 663,972.19
  4. Step 4: Simplify right side
    419,134.50x = 440,859,065,773.54
  5. Step 5: Solve for x
    x = 440,859,065,773.54/419,134.50
  6. Step 6: Final answer
    x = 1,051,831.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.