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Finding the Third Proportional to 518,142 and 1,221,387

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Solution

The third proportional to 518,142 and 1,221,387 is: 2,879,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,142 : 1,221,387 = 1,221,387 : x
  2. Step 2: Convert to fraction form
    518,142/1,221,387 = 1,221,387/x
  3. Step 3: Cross multiply
    518,142x = 1,221,387 × 1,221,387
  4. Step 4: Simplify right side
    518,142x = 1,491,786,203,769
  5. Step 5: Solve for x
    x = 1,491,786,203,769/518,142
  6. Step 6: Final answer
    x = 2,879,106.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.