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Finding the Third Proportional to 100,250 and 216,340

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Solution

The third proportional to 100,250 and 216,340 is: 466,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,250 : 216,340 = 216,340 : x
  2. Step 2: Convert to fraction form
    100,250/216,340 = 216,340/x
  3. Step 3: Cross multiply
    100,250x = 216,340 × 216,340
  4. Step 4: Simplify right side
    100,250x = 46,802,995,600
  5. Step 5: Solve for x
    x = 46,802,995,600/100,250
  6. Step 6: Final answer
    x = 466,862.80

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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.