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Finding the Third Proportional to 279,258 and 442,397

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Solution

The third proportional to 279,258 and 442,397 is: 700,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,258 : 442,397 = 442,397 : x
  2. Step 2: Convert to fraction form
    279,258/442,397 = 442,397/x
  3. Step 3: Cross multiply
    279,258x = 442,397 × 442,397
  4. Step 4: Simplify right side
    279,258x = 195,715,105,609
  5. Step 5: Solve for x
    x = 195,715,105,609/279,258
  6. Step 6: Final answer
    x = 700,839.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.