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Finding the Third Proportional to 102,288 and 211,680

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Solution

The third proportional to 102,288 and 211,680 is: 438,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,288 : 211,680 = 211,680 : x
  2. Step 2: Convert to fraction form
    102,288/211,680 = 211,680/x
  3. Step 3: Cross multiply
    102,288x = 211,680 × 211,680
  4. Step 4: Simplify right side
    102,288x = 44,808,422,400
  5. Step 5: Solve for x
    x = 44,808,422,400/102,288
  6. Step 6: Final answer
    x = 438,061.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.