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Finding the Third Proportional to 48,934.13 and 102,811.78

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Solution

The third proportional to 48,934.13 and 102,811.78 is: 216,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,934.13 : 102,811.78 = 102,811.78 : x
  2. Step 2: Convert to fraction form
    48,934.13/102,811.78 = 102,811.78/x
  3. Step 3: Cross multiply
    48,934.13x = 102,811.78 × 102,811.78
  4. Step 4: Simplify right side
    48,934.13x = 10,570,262,363.80
  5. Step 5: Solve for x
    x = 10,570,262,363.80/48,934.13
  6. Step 6: Final answer
    x = 216,010.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.