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Finding the Third Proportional to 148,745 and 305,408

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Solution

The third proportional to 148,745 and 305,408 is: 627,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,745 : 305,408 = 305,408 : x
  2. Step 2: Convert to fraction form
    148,745/305,408 = 305,408/x
  3. Step 3: Cross multiply
    148,745x = 305,408 × 305,408
  4. Step 4: Simplify right side
    148,745x = 93,274,046,464
  5. Step 5: Solve for x
    x = 93,274,046,464/148,745
  6. Step 6: Final answer
    x = 627,073.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.