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Finding the Third Proportional to 47.70 and 78.79

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Solution

The third proportional to 47.70 and 78.79 is: 130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.70 : 78.79 = 78.79 : x
  2. Step 2: Convert to fraction form
    47.70/78.79 = 78.79/x
  3. Step 3: Cross multiply
    47.70x = 78.79 × 78.79
  4. Step 4: Simplify right side
    47.70x = 6,207.10
  5. Step 5: Solve for x
    x = 6,207.10/47.70
  6. Step 6: Final answer
    x = 130.13

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.