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Finding the Third Proportional to 422,301 and 622,251

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Solution

The third proportional to 422,301 and 622,251 is: 916,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,301 : 622,251 = 622,251 : x
  2. Step 2: Convert to fraction form
    422,301/622,251 = 622,251/x
  3. Step 3: Cross multiply
    422,301x = 622,251 × 622,251
  4. Step 4: Simplify right side
    422,301x = 387,196,307,001
  5. Step 5: Solve for x
    x = 387,196,307,001/422,301
  6. Step 6: Final answer
    x = 916,872.82

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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.