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Finding the Third Proportional to 100,288 and 216,248

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Solution

The third proportional to 100,288 and 216,248 is: 466,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,288 : 216,248 = 216,248 : x
  2. Step 2: Convert to fraction form
    100,288/216,248 = 216,248/x
  3. Step 3: Cross multiply
    100,288x = 216,248 × 216,248
  4. Step 4: Simplify right side
    100,288x = 46,763,197,504
  5. Step 5: Solve for x
    x = 46,763,197,504/100,288
  6. Step 6: Final answer
    x = 466,289.06

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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.