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Finding the Third Proportional to 66,520 and 143,592

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Solution

The third proportional to 66,520 and 143,592 is: 309,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,520 : 143,592 = 143,592 : x
  2. Step 2: Convert to fraction form
    66,520/143,592 = 143,592/x
  3. Step 3: Cross multiply
    66,520x = 143,592 × 143,592
  4. Step 4: Simplify right side
    66,520x = 20,618,662,464
  5. Step 5: Solve for x
    x = 20,618,662,464/66,520
  6. Step 6: Final answer
    x = 309,961.85

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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.