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Finding the Third Proportional to 135,419.34 and 288,334.69

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Solution

The third proportional to 135,419.34 and 288,334.69 is: 613,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,419.34 : 288,334.69 = 288,334.69 : x
  2. Step 2: Convert to fraction form
    135,419.34/288,334.69 = 288,334.69/x
  3. Step 3: Cross multiply
    135,419.34x = 288,334.69 × 288,334.69
  4. Step 4: Simplify right side
    135,419.34x = 83,136,892,015.72
  5. Step 5: Solve for x
    x = 83,136,892,015.72/135,419.34
  6. Step 6: Final answer
    x = 613,921.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.