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Finding the Third Proportional to 98,540 and 212,632

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Solution

The third proportional to 98,540 and 212,632 is: 458,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,540 : 212,632 = 212,632 : x
  2. Step 2: Convert to fraction form
    98,540/212,632 = 212,632/x
  3. Step 3: Cross multiply
    98,540x = 212,632 × 212,632
  4. Step 4: Simplify right side
    98,540x = 45,212,367,424
  5. Step 5: Solve for x
    x = 45,212,367,424/98,540
  6. Step 6: Final answer
    x = 458,822.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.