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Finding the Third Proportional to 124,317 and 268,290

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Solution

The third proportional to 124,317 and 268,290 is: 578,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,317 : 268,290 = 268,290 : x
  2. Step 2: Convert to fraction form
    124,317/268,290 = 268,290/x
  3. Step 3: Cross multiply
    124,317x = 268,290 × 268,290
  4. Step 4: Simplify right side
    124,317x = 71,979,524,100
  5. Step 5: Solve for x
    x = 71,979,524,100/124,317
  6. Step 6: Final answer
    x = 578,999.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.