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Finding the Third Proportional to 278,812.13 and 443,130.75

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Solution

The third proportional to 278,812.13 and 443,130.75 is: 704,290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,812.13 : 443,130.75 = 443,130.75 : x
  2. Step 2: Convert to fraction form
    278,812.13/443,130.75 = 443,130.75/x
  3. Step 3: Cross multiply
    278,812.13x = 443,130.75 × 443,130.75
  4. Step 4: Simplify right side
    278,812.13x = 196,364,861,595.56
  5. Step 5: Solve for x
    x = 196,364,861,595.56/278,812.13
  6. Step 6: Final answer
    x = 704,290.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.