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Finding the Third Proportional to 812,119.50 and 930,217.50

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Solution

The third proportional to 812,119.50 and 930,217.50 is: 1,065,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,119.50 : 930,217.50 = 930,217.50 : x
  2. Step 2: Convert to fraction form
    812,119.50/930,217.50 = 930,217.50/x
  3. Step 3: Cross multiply
    812,119.50x = 930,217.50 × 930,217.50
  4. Step 4: Simplify right side
    812,119.50x = 865,304,597,306.25
  5. Step 5: Solve for x
    x = 865,304,597,306.25/812,119.50
  6. Step 6: Final answer
    x = 1,065,489.25

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.