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Finding the Third Proportional to 100,287 and 216,247.50

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Solution

The third proportional to 100,287 and 216,247.50 is: 466,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,287 : 216,247.50 = 216,247.50 : x
  2. Step 2: Convert to fraction form
    100,287/216,247.50 = 216,247.50/x
  3. Step 3: Cross multiply
    100,287x = 216,247.50 × 216,247.50
  4. Step 4: Simplify right side
    100,287x = 46,762,981,256.25
  5. Step 5: Solve for x
    x = 46,762,981,256.25/100,287
  6. Step 6: Final answer
    x = 466,291.56

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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.