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Finding the Third Proportional to 38,624 and 84,640

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Solution

The third proportional to 38,624 and 84,640 is: 185,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,624 : 84,640 = 84,640 : x
  2. Step 2: Convert to fraction form
    38,624/84,640 = 84,640/x
  3. Step 3: Cross multiply
    38,624x = 84,640 × 84,640
  4. Step 4: Simplify right side
    38,624x = 7,163,929,600
  5. Step 5: Solve for x
    x = 7,163,929,600/38,624
  6. Step 6: Final answer
    x = 185,478.71

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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.