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Finding the Third Proportional to 136,872 and 292,659.38

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Solution

The third proportional to 136,872 and 292,659.38 is: 625,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,872 : 292,659.38 = 292,659.38 : x
  2. Step 2: Convert to fraction form
    136,872/292,659.38 = 292,659.38/x
  3. Step 3: Cross multiply
    136,872x = 292,659.38 × 292,659.38
  4. Step 4: Simplify right side
    136,872x = 85,649,509,775.39
  5. Step 5: Solve for x
    x = 85,649,509,775.39/136,872
  6. Step 6: Final answer
    x = 625,763.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.