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Finding the Third Proportional to 151,715 and 218,536

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Solution

The third proportional to 151,715 and 218,536 is: 314,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,715 : 218,536 = 218,536 : x
  2. Step 2: Convert to fraction form
    151,715/218,536 = 218,536/x
  3. Step 3: Cross multiply
    151,715x = 218,536 × 218,536
  4. Step 4: Simplify right side
    151,715x = 47,757,983,296
  5. Step 5: Solve for x
    x = 47,757,983,296/151,715
  6. Step 6: Final answer
    x = 314,787.49

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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.