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Finding the Third Proportional to 218,428 and 467,226

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Solution

The third proportional to 218,428 and 467,226 is: 999,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,428 : 467,226 = 467,226 : x
  2. Step 2: Convert to fraction form
    218,428/467,226 = 467,226/x
  3. Step 3: Cross multiply
    218,428x = 467,226 × 467,226
  4. Step 4: Simplify right side
    218,428x = 218,300,135,076
  5. Step 5: Solve for x
    x = 218,300,135,076/218,428
  6. Step 6: Final answer
    x = 999,414.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.