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Finding the Third Proportional to 147.33 and 344.06

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Solution

The third proportional to 147.33 and 344.06 is: 803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.33 : 344.06 = 344.06 : x
  2. Step 2: Convert to fraction form
    147.33/344.06 = 344.06/x
  3. Step 3: Cross multiply
    147.33x = 344.06 × 344.06
  4. Step 4: Simplify right side
    147.33x = 118,379.00
  5. Step 5: Solve for x
    x = 118,379.00/147.33
  6. Step 6: Final answer
    x = 803.51

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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.