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Finding the Third Proportional to 66,783 and 143,937

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Solution

The third proportional to 66,783 and 143,937 is: 310,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,783 : 143,937 = 143,937 : x
  2. Step 2: Convert to fraction form
    66,783/143,937 = 143,937/x
  3. Step 3: Cross multiply
    66,783x = 143,937 × 143,937
  4. Step 4: Simplify right side
    66,783x = 20,717,859,969
  5. Step 5: Solve for x
    x = 20,717,859,969/66,783
  6. Step 6: Final answer
    x = 310,226.55

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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.