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Finding the Third Proportional to 253,492 and 556,555

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Solution

The third proportional to 253,492 and 556,555 is: 1,221,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,492 : 556,555 = 556,555 : x
  2. Step 2: Convert to fraction form
    253,492/556,555 = 556,555/x
  3. Step 3: Cross multiply
    253,492x = 556,555 × 556,555
  4. Step 4: Simplify right side
    253,492x = 309,753,468,025
  5. Step 5: Solve for x
    x = 309,753,468,025/253,492
  6. Step 6: Final answer
    x = 1,221,945.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.