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Finding the Third Proportional to 70.03 and 147.23

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Solution

The third proportional to 70.03 and 147.23 is: 309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.03 : 147.23 = 147.23 : x
  2. Step 2: Convert to fraction form
    70.03/147.23 = 147.23/x
  3. Step 3: Cross multiply
    70.03x = 147.23 × 147.23
  4. Step 4: Simplify right side
    70.03x = 21,677.96
  5. Step 5: Solve for x
    x = 21,677.96/70.03
  6. Step 6: Final answer
    x = 309.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.