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Finding the Third Proportional to 77,746 and 162,397

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Solution

The third proportional to 77,746 and 162,397 is: 339,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,746 : 162,397 = 162,397 : x
  2. Step 2: Convert to fraction form
    77,746/162,397 = 162,397/x
  3. Step 3: Cross multiply
    77,746x = 162,397 × 162,397
  4. Step 4: Simplify right side
    77,746x = 26,372,785,609
  5. Step 5: Solve for x
    x = 26,372,785,609/77,746
  6. Step 6: Final answer
    x = 339,217.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.