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Finding the Third Proportional to 102,288 and 221,208

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Solution

The third proportional to 102,288 and 221,208 is: 478,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,288 : 221,208 = 221,208 : x
  2. Step 2: Convert to fraction form
    102,288/221,208 = 221,208/x
  3. Step 3: Cross multiply
    102,288x = 221,208 × 221,208
  4. Step 4: Simplify right side
    102,288x = 48,932,979,264
  5. Step 5: Solve for x
    x = 48,932,979,264/102,288
  6. Step 6: Final answer
    x = 478,384.36

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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.