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Finding the Third Proportional to 198,074 and 292,742

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Solution

The third proportional to 198,074 and 292,742 is: 432,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,074 : 292,742 = 292,742 : x
  2. Step 2: Convert to fraction form
    198,074/292,742 = 292,742/x
  3. Step 3: Cross multiply
    198,074x = 292,742 × 292,742
  4. Step 4: Simplify right side
    198,074x = 85,697,878,564
  5. Step 5: Solve for x
    x = 85,697,878,564/198,074
  6. Step 6: Final answer
    x = 432,655.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.