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Finding the Third Proportional to 66,517 and 136,141.50

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Solution

The third proportional to 66,517 and 136,141.50 is: 278,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,517 : 136,141.50 = 136,141.50 : x
  2. Step 2: Convert to fraction form
    66,517/136,141.50 = 136,141.50/x
  3. Step 3: Cross multiply
    66,517x = 136,141.50 × 136,141.50
  4. Step 4: Simplify right side
    66,517x = 18,534,508,022.25
  5. Step 5: Solve for x
    x = 18,534,508,022.25/66,517
  6. Step 6: Final answer
    x = 278,643.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.