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Finding the Third Proportional to 77,972 and 161,292

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Solution

The third proportional to 77,972 and 161,292 is: 333,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,972 : 161,292 = 161,292 : x
  2. Step 2: Convert to fraction form
    77,972/161,292 = 161,292/x
  3. Step 3: Cross multiply
    77,972x = 161,292 × 161,292
  4. Step 4: Simplify right side
    77,972x = 26,015,109,264
  5. Step 5: Solve for x
    x = 26,015,109,264/77,972
  6. Step 6: Final answer
    x = 333,646.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.