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Finding the Third Proportional to 66,822 and 144,011

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Solution

The third proportional to 66,822 and 144,011 is: 310,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,822 : 144,011 = 144,011 : x
  2. Step 2: Convert to fraction form
    66,822/144,011 = 144,011/x
  3. Step 3: Cross multiply
    66,822x = 144,011 × 144,011
  4. Step 4: Simplify right side
    66,822x = 20,739,168,121
  5. Step 5: Solve for x
    x = 20,739,168,121/66,822
  6. Step 6: Final answer
    x = 310,364.37

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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.