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Finding the Third Proportional to 147.66 and 321.05

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Solution

The third proportional to 147.66 and 321.05 is: 698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.66 : 321.05 = 321.05 : x
  2. Step 2: Convert to fraction form
    147.66/321.05 = 321.05/x
  3. Step 3: Cross multiply
    147.66x = 321.05 × 321.05
  4. Step 4: Simplify right side
    147.66x = 103,071.10
  5. Step 5: Solve for x
    x = 103,071.10/147.66
  6. Step 6: Final answer
    x = 698.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.