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Finding the Third Proportional to 98,212 and 215,540

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Solution

The third proportional to 98,212 and 215,540 is: 473,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,212 : 215,540 = 215,540 : x
  2. Step 2: Convert to fraction form
    98,212/215,540 = 215,540/x
  3. Step 3: Cross multiply
    98,212x = 215,540 × 215,540
  4. Step 4: Simplify right side
    98,212x = 46,457,491,600
  5. Step 5: Solve for x
    x = 46,457,491,600/98,212
  6. Step 6: Final answer
    x = 473,032.74

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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.