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Finding the Third Proportional to 108,408 and 154,720

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Solution

The third proportional to 108,408 and 154,720 is: 220,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,408 : 154,720 = 154,720 : x
  2. Step 2: Convert to fraction form
    108,408/154,720 = 154,720/x
  3. Step 3: Cross multiply
    108,408x = 154,720 × 154,720
  4. Step 4: Simplify right side
    108,408x = 23,938,278,400
  5. Step 5: Solve for x
    x = 23,938,278,400/108,408
  6. Step 6: Final answer
    x = 220,816.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.