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Finding the Third Proportional to 147.80 and 345.23

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Solution

The third proportional to 147.80 and 345.23 is: 806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.80 : 345.23 = 345.23 : x
  2. Step 2: Convert to fraction form
    147.80/345.23 = 345.23/x
  3. Step 3: Cross multiply
    147.80x = 345.23 × 345.23
  4. Step 4: Simplify right side
    147.80x = 119,186.77
  5. Step 5: Solve for x
    x = 119,186.77/147.80
  6. Step 6: Final answer
    x = 806.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.