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Finding the Third Proportional to 151,760 and 218,600

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Solution

The third proportional to 151,760 and 218,600 is: 314,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,760 : 218,600 = 218,600 : x
  2. Step 2: Convert to fraction form
    151,760/218,600 = 218,600/x
  3. Step 3: Cross multiply
    151,760x = 218,600 × 218,600
  4. Step 4: Simplify right side
    151,760x = 47,785,960,000
  5. Step 5: Solve for x
    x = 47,785,960,000/151,760
  6. Step 6: Final answer
    x = 314,878.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.