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Finding the Third Proportional to 28,840 and 69,802

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Solution

The third proportional to 28,840 and 69,802 is: 168,943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,840 : 69,802 = 69,802 : x
  2. Step 2: Convert to fraction form
    28,840/69,802 = 69,802/x
  3. Step 3: Cross multiply
    28,840x = 69,802 × 69,802
  4. Step 4: Simplify right side
    28,840x = 4,872,319,204
  5. Step 5: Solve for x
    x = 4,872,319,204/28,840
  6. Step 6: Final answer
    x = 168,943.11

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.