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Finding the Third Proportional to 319,979.74 and 687,445.42

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Solution

The third proportional to 319,979.74 and 687,445.42 is: 1,476,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,979.74 : 687,445.42 = 687,445.42 : x
  2. Step 2: Convert to fraction form
    319,979.74/687,445.42 = 687,445.42/x
  3. Step 3: Cross multiply
    319,979.74x = 687,445.42 × 687,445.42
  4. Step 4: Simplify right side
    319,979.74x = 472,581,202,686.23
  5. Step 5: Solve for x
    x = 472,581,202,686.23/319,979.74
  6. Step 6: Final answer
    x = 1,476,909.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.