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Finding the Third Proportional to 279,508 and 442,806

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Solution

The third proportional to 279,508 and 442,806 is: 701,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,508 : 442,806 = 442,806 : x
  2. Step 2: Convert to fraction form
    279,508/442,806 = 442,806/x
  3. Step 3: Cross multiply
    279,508x = 442,806 × 442,806
  4. Step 4: Simplify right side
    279,508x = 196,077,153,636
  5. Step 5: Solve for x
    x = 196,077,153,636/279,508
  6. Step 6: Final answer
    x = 701,508.20

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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.