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Finding the Third Proportional to 81,430 and 173,612

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Solution

The third proportional to 81,430 and 173,612 is: 370,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,430 : 173,612 = 173,612 : x
  2. Step 2: Convert to fraction form
    81,430/173,612 = 173,612/x
  3. Step 3: Cross multiply
    81,430x = 173,612 × 173,612
  4. Step 4: Simplify right side
    81,430x = 30,141,126,544
  5. Step 5: Solve for x
    x = 30,141,126,544/81,430
  6. Step 6: Final answer
    x = 370,147.69

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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.