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Finding the Third Proportional to 85,138 and 134,747

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Solution

The third proportional to 85,138 and 134,747 is: 213,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,138 : 134,747 = 134,747 : x
  2. Step 2: Convert to fraction form
    85,138/134,747 = 134,747/x
  3. Step 3: Cross multiply
    85,138x = 134,747 × 134,747
  4. Step 4: Simplify right side
    85,138x = 18,156,754,009
  5. Step 5: Solve for x
    x = 18,156,754,009/85,138
  6. Step 6: Final answer
    x = 213,262.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.