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Finding the Third Proportional to 81,465 and 173,685

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Solution

The third proportional to 81,465 and 173,685 is: 370,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,465 : 173,685 = 173,685 : x
  2. Step 2: Convert to fraction form
    81,465/173,685 = 173,685/x
  3. Step 3: Cross multiply
    81,465x = 173,685 × 173,685
  4. Step 4: Simplify right side
    81,465x = 30,166,479,225
  5. Step 5: Solve for x
    x = 30,166,479,225/81,465
  6. Step 6: Final answer
    x = 370,299.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.