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Finding the Third Proportional to 66,561 and 146,511

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Solution

The third proportional to 66,561 and 146,511 is: 322,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,561 : 146,511 = 146,511 : x
  2. Step 2: Convert to fraction form
    66,561/146,511 = 146,511/x
  3. Step 3: Cross multiply
    66,561x = 146,511 × 146,511
  4. Step 4: Simplify right side
    66,561x = 21,465,473,121
  5. Step 5: Solve for x
    x = 21,465,473,121/66,561
  6. Step 6: Final answer
    x = 322,493.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.