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Finding the Third Proportional to 66,981 and 103,713

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Solution

The third proportional to 66,981 and 103,713 is: 160,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,981 : 103,713 = 103,713 : x
  2. Step 2: Convert to fraction form
    66,981/103,713 = 103,713/x
  3. Step 3: Cross multiply
    66,981x = 103,713 × 103,713
  4. Step 4: Simplify right side
    66,981x = 10,756,386,369
  5. Step 5: Solve for x
    x = 10,756,386,369/66,981
  6. Step 6: Final answer
    x = 160,588.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.