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Finding the Third Proportional to 69,211 and 98,972

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Solution

The third proportional to 69,211 and 98,972 is: 141,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,211 : 98,972 = 98,972 : x
  2. Step 2: Convert to fraction form
    69,211/98,972 = 98,972/x
  3. Step 3: Cross multiply
    69,211x = 98,972 × 98,972
  4. Step 4: Simplify right side
    69,211x = 9,795,456,784
  5. Step 5: Solve for x
    x = 9,795,456,784/69,211
  6. Step 6: Final answer
    x = 141,530.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.