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Finding the Third Proportional to 223,586 and 328,251

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Solution

The third proportional to 223,586 and 328,251 is: 481,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,586 : 328,251 = 328,251 : x
  2. Step 2: Convert to fraction form
    223,586/328,251 = 328,251/x
  3. Step 3: Cross multiply
    223,586x = 328,251 × 328,251
  4. Step 4: Simplify right side
    223,586x = 107,748,719,001
  5. Step 5: Solve for x
    x = 107,748,719,001/223,586
  6. Step 6: Final answer
    x = 481,911.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.