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Finding the Third Proportional to 69.08 and 147.87

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Solution

The third proportional to 69.08 and 147.87 is: 316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.08 : 147.87 = 147.87 : x
  2. Step 2: Convert to fraction form
    69.08/147.87 = 147.87/x
  3. Step 3: Cross multiply
    69.08x = 147.87 × 147.87
  4. Step 4: Simplify right side
    69.08x = 21,864.71
  5. Step 5: Solve for x
    x = 21,864.71/69.08
  6. Step 6: Final answer
    x = 316.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.