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Finding the Third Proportional to 70,540 and 154,196

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Solution

The third proportional to 70,540 and 154,196 is: 337,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,540 : 154,196 = 154,196 : x
  2. Step 2: Convert to fraction form
    70,540/154,196 = 154,196/x
  3. Step 3: Cross multiply
    70,540x = 154,196 × 154,196
  4. Step 4: Simplify right side
    70,540x = 23,776,406,416
  5. Step 5: Solve for x
    x = 23,776,406,416/70,540
  6. Step 6: Final answer
    x = 337,062.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.