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Finding the Third Proportional to 67,981 and 145,804

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Solution

The third proportional to 67,981 and 145,804 is: 312,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,981 : 145,804 = 145,804 : x
  2. Step 2: Convert to fraction form
    67,981/145,804 = 145,804/x
  3. Step 3: Cross multiply
    67,981x = 145,804 × 145,804
  4. Step 4: Simplify right side
    67,981x = 21,258,806,416
  5. Step 5: Solve for x
    x = 21,258,806,416/67,981
  6. Step 6: Final answer
    x = 312,716.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.