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Finding the Third Proportional to 66,440 and 102,981

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Solution

The third proportional to 66,440 and 102,981 is: 159,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,440 : 102,981 = 102,981 : x
  2. Step 2: Convert to fraction form
    66,440/102,981 = 102,981/x
  3. Step 3: Cross multiply
    66,440x = 102,981 × 102,981
  4. Step 4: Simplify right side
    66,440x = 10,605,086,361
  5. Step 5: Solve for x
    x = 10,605,086,361/66,440
  6. Step 6: Final answer
    x = 159,619.00

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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.