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Finding the Third Proportional to 85,408 and 136,440

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Solution

The third proportional to 85,408 and 136,440 is: 217,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,408 : 136,440 = 136,440 : x
  2. Step 2: Convert to fraction form
    85,408/136,440 = 136,440/x
  3. Step 3: Cross multiply
    85,408x = 136,440 × 136,440
  4. Step 4: Simplify right side
    85,408x = 18,615,873,600
  5. Step 5: Solve for x
    x = 18,615,873,600/85,408
  6. Step 6: Final answer
    x = 217,964.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.