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Finding the Third Proportional to 371,917 and 552,408

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Solution

The third proportional to 371,917 and 552,408 is: 820,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,917 : 552,408 = 552,408 : x
  2. Step 2: Convert to fraction form
    371,917/552,408 = 552,408/x
  3. Step 3: Cross multiply
    371,917x = 552,408 × 552,408
  4. Step 4: Simplify right side
    371,917x = 305,154,598,464
  5. Step 5: Solve for x
    x = 305,154,598,464/371,917
  6. Step 6: Final answer
    x = 820,491.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.