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Finding the Third Proportional to 279,703.13 and 612,301.78

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Solution

The third proportional to 279,703.13 and 612,301.78 is: 1,340,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,703.13 : 612,301.78 = 612,301.78 : x
  2. Step 2: Convert to fraction form
    279,703.13/612,301.78 = 612,301.78/x
  3. Step 3: Cross multiply
    279,703.13x = 612,301.78 × 612,301.78
  4. Step 4: Simplify right side
    279,703.13x = 374,913,471,321.92
  5. Step 5: Solve for x
    x = 374,913,471,321.92/279,703.13
  6. Step 6: Final answer
    x = 1,340,397.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.