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Finding the Third Proportional to 135,981 and 291,642.75

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Solution

The third proportional to 135,981 and 291,642.75 is: 625,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,981 : 291,642.75 = 291,642.75 : x
  2. Step 2: Convert to fraction form
    135,981/291,642.75 = 291,642.75/x
  3. Step 3: Cross multiply
    135,981x = 291,642.75 × 291,642.75
  4. Step 4: Simplify right side
    135,981x = 85,055,493,627.56
  5. Step 5: Solve for x
    x = 85,055,493,627.56/135,981
  6. Step 6: Final answer
    x = 625,495.43

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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.