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Finding the Third Proportional to 100,278 and 216,229.50

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Solution

The third proportional to 100,278 and 216,229.50 is: 466,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,278 : 216,229.50 = 216,229.50 : x
  2. Step 2: Convert to fraction form
    100,278/216,229.50 = 216,229.50/x
  3. Step 3: Cross multiply
    100,278x = 216,229.50 × 216,229.50
  4. Step 4: Simplify right side
    100,278x = 46,755,196,670.25
  5. Step 5: Solve for x
    x = 46,755,196,670.25/100,278
  6. Step 6: Final answer
    x = 466,255.78

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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.