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Finding the Third Proportional to 102,356 and 221,864

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Solution

The third proportional to 102,356 and 221,864 is: 480,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,356 : 221,864 = 221,864 : x
  2. Step 2: Convert to fraction form
    102,356/221,864 = 221,864/x
  3. Step 3: Cross multiply
    102,356x = 221,864 × 221,864
  4. Step 4: Simplify right side
    102,356x = 49,223,634,496
  5. Step 5: Solve for x
    x = 49,223,634,496/102,356
  6. Step 6: Final answer
    x = 480,906.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.