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Finding the Third Proportional to 66,656 and 143,680

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Solution

The third proportional to 66,656 and 143,680 is: 309,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,656 : 143,680 = 143,680 : x
  2. Step 2: Convert to fraction form
    66,656/143,680 = 143,680/x
  3. Step 3: Cross multiply
    66,656x = 143,680 × 143,680
  4. Step 4: Simplify right side
    66,656x = 20,643,942,400
  5. Step 5: Solve for x
    x = 20,643,942,400/66,656
  6. Step 6: Final answer
    x = 309,708.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.