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Finding the Third Proportional to 68,522 and 102,785

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Solution

The third proportional to 68,522 and 102,785 is: 154,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,522 : 102,785 = 102,785 : x
  2. Step 2: Convert to fraction form
    68,522/102,785 = 102,785/x
  3. Step 3: Cross multiply
    68,522x = 102,785 × 102,785
  4. Step 4: Simplify right side
    68,522x = 10,564,756,225
  5. Step 5: Solve for x
    x = 10,564,756,225/68,522
  6. Step 6: Final answer
    x = 154,180.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.