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Finding the Third Proportional to 279,432 and 442,662

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Solution

The third proportional to 279,432 and 442,662 is: 701,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,432 : 442,662 = 442,662 : x
  2. Step 2: Convert to fraction form
    279,432/442,662 = 442,662/x
  3. Step 3: Cross multiply
    279,432x = 442,662 × 442,662
  4. Step 4: Simplify right side
    279,432x = 195,949,646,244
  5. Step 5: Solve for x
    x = 195,949,646,244/279,432
  6. Step 6: Final answer
    x = 701,242.69

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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.