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Finding the Third Proportional to 70,781 and 154,688

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Solution

The third proportional to 70,781 and 154,688 is: 338,062.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,781 : 154,688 = 154,688 : x
  2. Step 2: Convert to fraction form
    70,781/154,688 = 154,688/x
  3. Step 3: Cross multiply
    70,781x = 154,688 × 154,688
  4. Step 4: Simplify right side
    70,781x = 23,928,377,344
  5. Step 5: Solve for x
    x = 23,928,377,344/70,781
  6. Step 6: Final answer
    x = 338,062.15

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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.