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Finding the Third Proportional to 66,921 and 148,605

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Solution

The third proportional to 66,921 and 148,605 is: 329,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,921 : 148,605 = 148,605 : x
  2. Step 2: Convert to fraction form
    66,921/148,605 = 148,605/x
  3. Step 3: Cross multiply
    66,921x = 148,605 × 148,605
  4. Step 4: Simplify right side
    66,921x = 22,083,446,025
  5. Step 5: Solve for x
    x = 22,083,446,025/66,921
  6. Step 6: Final answer
    x = 329,992.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.