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Finding the Third Proportional to 81,612 and 170,605.50

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Solution

The third proportional to 81,612 and 170,605.50 is: 356,641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,612 : 170,605.50 = 170,605.50 : x
  2. Step 2: Convert to fraction form
    81,612/170,605.50 = 170,605.50/x
  3. Step 3: Cross multiply
    81,612x = 170,605.50 × 170,605.50
  4. Step 4: Simplify right side
    81,612x = 29,106,236,630.25
  5. Step 5: Solve for x
    x = 29,106,236,630.25/81,612
  6. Step 6: Final answer
    x = 356,641.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.