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Finding the Third Proportional to 100,892 and 221,465

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Solution

The third proportional to 100,892 and 221,465 is: 486,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,892 : 221,465 = 221,465 : x
  2. Step 2: Convert to fraction form
    100,892/221,465 = 221,465/x
  3. Step 3: Cross multiply
    100,892x = 221,465 × 221,465
  4. Step 4: Simplify right side
    100,892x = 49,046,746,225
  5. Step 5: Solve for x
    x = 49,046,746,225/100,892
  6. Step 6: Final answer
    x = 486,131.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.