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Finding the Third Proportional to 268,860 and 412,689.75

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Solution

The third proportional to 268,860 and 412,689.75 is: 633,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,860 : 412,689.75 = 412,689.75 : x
  2. Step 2: Convert to fraction form
    268,860/412,689.75 = 412,689.75/x
  3. Step 3: Cross multiply
    268,860x = 412,689.75 × 412,689.75
  4. Step 4: Simplify right side
    268,860x = 170,312,829,755.06
  5. Step 5: Solve for x
    x = 170,312,829,755.06/268,860
  6. Step 6: Final answer
    x = 633,462.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.