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Finding the Third Proportional to 66,412 and 143,888

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Solution

The third proportional to 66,412 and 143,888 is: 311,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,412 : 143,888 = 143,888 : x
  2. Step 2: Convert to fraction form
    66,412/143,888 = 143,888/x
  3. Step 3: Cross multiply
    66,412x = 143,888 × 143,888
  4. Step 4: Simplify right side
    66,412x = 20,703,756,544
  5. Step 5: Solve for x
    x = 20,703,756,544/66,412
  6. Step 6: Final answer
    x = 311,747.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.