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Finding the Third Proportional to 136,867 and 292,649

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Solution

The third proportional to 136,867 and 292,649 is: 625,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,867 : 292,649 = 292,649 : x
  2. Step 2: Convert to fraction form
    136,867/292,649 = 292,649/x
  3. Step 3: Cross multiply
    136,867x = 292,649 × 292,649
  4. Step 4: Simplify right side
    136,867x = 85,643,437,201
  5. Step 5: Solve for x
    x = 85,643,437,201/136,867
  6. Step 6: Final answer
    x = 625,742.05

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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.