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Finding the Third Proportional to 66,511 and 103,055

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Solution

The third proportional to 66,511 and 103,055 is: 159,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,511 : 103,055 = 103,055 : x
  2. Step 2: Convert to fraction form
    66,511/103,055 = 103,055/x
  3. Step 3: Cross multiply
    66,511x = 103,055 × 103,055
  4. Step 4: Simplify right side
    66,511x = 10,620,333,025
  5. Step 5: Solve for x
    x = 10,620,333,025/66,511
  6. Step 6: Final answer
    x = 159,677.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.