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Finding the Third Proportional to 207.56 and 385.78

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Solution

The third proportional to 207.56 and 385.78 is: 717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.56 : 385.78 = 385.78 : x
  2. Step 2: Convert to fraction form
    207.56/385.78 = 385.78/x
  3. Step 3: Cross multiply
    207.56x = 385.78 × 385.78
  4. Step 4: Simplify right side
    207.56x = 148,827.17
  5. Step 5: Solve for x
    x = 148,827.17/207.56
  6. Step 6: Final answer
    x = 717.02

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.