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Finding the Third Proportional to 151,182 and 218,537

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Solution

The third proportional to 151,182 and 218,537 is: 315,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,182 : 218,537 = 218,537 : x
  2. Step 2: Convert to fraction form
    151,182/218,537 = 218,537/x
  3. Step 3: Cross multiply
    151,182x = 218,537 × 218,537
  4. Step 4: Simplify right side
    151,182x = 47,758,420,369
  5. Step 5: Solve for x
    x = 47,758,420,369/151,182
  6. Step 6: Final answer
    x = 315,900.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.