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Finding the Third Proportional to 249,738.38 and 397,215.56

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Solution

The third proportional to 249,738.38 and 397,215.56 is: 631,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,738.38 : 397,215.56 = 397,215.56 : x
  2. Step 2: Convert to fraction form
    249,738.38/397,215.56 = 397,215.56/x
  3. Step 3: Cross multiply
    249,738.38x = 397,215.56 × 397,215.56
  4. Step 4: Simplify right side
    249,738.38x = 157,780,203,092.19
  5. Step 5: Solve for x
    x = 157,780,203,092.19/249,738.38
  6. Step 6: Final answer
    x = 631,781.97

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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.