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Finding the Third Proportional to 268,080 and 558,210

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Solution

The third proportional to 268,080 and 558,210 is: 1,162,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,080 : 558,210 = 558,210 : x
  2. Step 2: Convert to fraction form
    268,080/558,210 = 558,210/x
  3. Step 3: Cross multiply
    268,080x = 558,210 × 558,210
  4. Step 4: Simplify right side
    268,080x = 311,598,404,100
  5. Step 5: Solve for x
    x = 311,598,404,100/268,080
  6. Step 6: Final answer
    x = 1,162,333.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.