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Finding the Third Proportional to 272,715 and 558,630

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Solution

The third proportional to 272,715 and 558,630 is: 1,144,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,715 : 558,630 = 558,630 : x
  2. Step 2: Convert to fraction form
    272,715/558,630 = 558,630/x
  3. Step 3: Cross multiply
    272,715x = 558,630 × 558,630
  4. Step 4: Simplify right side
    272,715x = 312,067,476,900
  5. Step 5: Solve for x
    x = 312,067,476,900/272,715
  6. Step 6: Final answer
    x = 1,144,298.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.