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Finding the Third Proportional to 62.65 and 147.60

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Solution

The third proportional to 62.65 and 147.60 is: 347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.65 : 147.60 = 147.60 : x
  2. Step 2: Convert to fraction form
    62.65/147.60 = 147.60/x
  3. Step 3: Cross multiply
    62.65x = 147.60 × 147.60
  4. Step 4: Simplify right side
    62.65x = 21,786.80
  5. Step 5: Solve for x
    x = 21,786.80/62.65
  6. Step 6: Final answer
    x = 347.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.