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Finding the Third Proportional to 147.80 and 324.98

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Solution

The third proportional to 147.80 and 324.98 is: 714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.80 : 324.98 = 324.98 : x
  2. Step 2: Convert to fraction form
    147.80/324.98 = 324.98/x
  3. Step 3: Cross multiply
    147.80x = 324.98 × 324.98
  4. Step 4: Simplify right side
    147.80x = 105,614.84
  5. Step 5: Solve for x
    x = 105,614.84/147.80
  6. Step 6: Final answer
    x = 714.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.