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Finding the Third Proportional to 218,918 and 279,730

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Solution

The third proportional to 218,918 and 279,730 is: 357,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,918 : 279,730 = 279,730 : x
  2. Step 2: Convert to fraction form
    218,918/279,730 = 279,730/x
  3. Step 3: Cross multiply
    218,918x = 279,730 × 279,730
  4. Step 4: Simplify right side
    218,918x = 78,248,872,900
  5. Step 5: Solve for x
    x = 78,248,872,900/218,918
  6. Step 6: Final answer
    x = 357,434.62

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.