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Finding the Third Proportional to 279,514.13 and 435,876.19

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Solution

The third proportional to 279,514.13 and 435,876.19 is: 679,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,514.13 : 435,876.19 = 435,876.19 : x
  2. Step 2: Convert to fraction form
    279,514.13/435,876.19 = 435,876.19/x
  3. Step 3: Cross multiply
    279,514.13x = 435,876.19 × 435,876.19
  4. Step 4: Simplify right side
    279,514.13x = 189,988,050,829.54
  5. Step 5: Solve for x
    x = 189,988,050,829.54/279,514.13
  6. Step 6: Final answer
    x = 679,708.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.