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Finding the Third Proportional to 85,624 and 136,738

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Solution

The third proportional to 85,624 and 136,738 is: 218,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,624 : 136,738 = 136,738 : x
  2. Step 2: Convert to fraction form
    85,624/136,738 = 136,738/x
  3. Step 3: Cross multiply
    85,624x = 136,738 × 136,738
  4. Step 4: Simplify right side
    85,624x = 18,697,280,644
  5. Step 5: Solve for x
    x = 18,697,280,644/85,624
  6. Step 6: Final answer
    x = 218,364.95

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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.