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Finding the Third Proportional to 138,195 and 292,996

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Solution

The third proportional to 138,195 and 292,996 is: 621,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,195 : 292,996 = 292,996 : x
  2. Step 2: Convert to fraction form
    138,195/292,996 = 292,996/x
  3. Step 3: Cross multiply
    138,195x = 292,996 × 292,996
  4. Step 4: Simplify right side
    138,195x = 85,846,656,016
  5. Step 5: Solve for x
    x = 85,846,656,016/138,195
  6. Step 6: Final answer
    x = 621,199.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.