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Finding the Third Proportional to 68,656 and 97,974

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Solution

The third proportional to 68,656 and 97,974 is: 139,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,656 : 97,974 = 97,974 : x
  2. Step 2: Convert to fraction form
    68,656/97,974 = 97,974/x
  3. Step 3: Cross multiply
    68,656x = 97,974 × 97,974
  4. Step 4: Simplify right side
    68,656x = 9,598,904,676
  5. Step 5: Solve for x
    x = 9,598,904,676/68,656
  6. Step 6: Final answer
    x = 139,811.59

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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.