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Finding the Third Proportional to 281,503.69 and 619,039.13

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Solution

The third proportional to 281,503.69 and 619,039.13 is: 1,361,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,503.69 : 619,039.13 = 619,039.13 : x
  2. Step 2: Convert to fraction form
    281,503.69/619,039.13 = 619,039.13/x
  3. Step 3: Cross multiply
    281,503.69x = 619,039.13 × 619,039.13
  4. Step 4: Simplify right side
    281,503.69x = 383,209,438,280.77
  5. Step 5: Solve for x
    x = 383,209,438,280.77/281,503.69
  6. Step 6: Final answer
    x = 1,361,294.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.