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Finding the Third Proportional to 78.47 and 107.58

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Solution

The third proportional to 78.47 and 107.58 is: 147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.47 : 107.58 = 107.58 : x
  2. Step 2: Convert to fraction form
    78.47/107.58 = 107.58/x
  3. Step 3: Cross multiply
    78.47x = 107.58 × 107.58
  4. Step 4: Simplify right side
    78.47x = 11,573.05
  5. Step 5: Solve for x
    x = 11,573.05/78.47
  6. Step 6: Final answer
    x = 147.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.