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Finding the Third Proportional to 66,521 and 143,593

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Solution

The third proportional to 66,521 and 143,593 is: 309,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,521 : 143,593 = 143,593 : x
  2. Step 2: Convert to fraction form
    66,521/143,593 = 143,593/x
  3. Step 3: Cross multiply
    66,521x = 143,593 × 143,593
  4. Step 4: Simplify right side
    66,521x = 20,618,949,649
  5. Step 5: Solve for x
    x = 20,618,949,649/66,521
  6. Step 6: Final answer
    x = 309,961.51

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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.