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Finding the Third Proportional to 66,723 and 145,109

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Solution

The third proportional to 66,723 and 145,109 is: 315,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,723 : 145,109 = 145,109 : x
  2. Step 2: Convert to fraction form
    66,723/145,109 = 145,109/x
  3. Step 3: Cross multiply
    66,723x = 145,109 × 145,109
  4. Step 4: Simplify right side
    66,723x = 21,056,621,881
  5. Step 5: Solve for x
    x = 21,056,621,881/66,723
  6. Step 6: Final answer
    x = 315,582.66

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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.