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Finding the Third Proportional to 613,540 and 1,318,159

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Solution

The third proportional to 613,540 and 1,318,159 is: 2,831,996.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,540 : 1,318,159 = 1,318,159 : x
  2. Step 2: Convert to fraction form
    613,540/1,318,159 = 1,318,159/x
  3. Step 3: Cross multiply
    613,540x = 1,318,159 × 1,318,159
  4. Step 4: Simplify right side
    613,540x = 1,737,543,149,281
  5. Step 5: Solve for x
    x = 1,737,543,149,281/613,540
  6. Step 6: Final answer
    x = 2,831,996.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.