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Finding the Third Proportional to 84,020 and 161,880

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Solution

The third proportional to 84,020 and 161,880 is: 311,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,020 : 161,880 = 161,880 : x
  2. Step 2: Convert to fraction form
    84,020/161,880 = 161,880/x
  3. Step 3: Cross multiply
    84,020x = 161,880 × 161,880
  4. Step 4: Simplify right side
    84,020x = 26,205,134,400
  5. Step 5: Solve for x
    x = 26,205,134,400/84,020
  6. Step 6: Final answer
    x = 311,891.63

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.