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Finding the Third Proportional to 66,580 and 144,916

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Solution

The third proportional to 66,580 and 144,916 is: 315,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,580 : 144,916 = 144,916 : x
  2. Step 2: Convert to fraction form
    66,580/144,916 = 144,916/x
  3. Step 3: Cross multiply
    66,580x = 144,916 × 144,916
  4. Step 4: Simplify right side
    66,580x = 21,000,647,056
  5. Step 5: Solve for x
    x = 21,000,647,056/66,580
  6. Step 6: Final answer
    x = 315,419.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.