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Finding the Third Proportional to 66,921 and 148,604

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Solution

The third proportional to 66,921 and 148,604 is: 329,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,921 : 148,604 = 148,604 : x
  2. Step 2: Convert to fraction form
    66,921/148,604 = 148,604/x
  3. Step 3: Cross multiply
    66,921x = 148,604 × 148,604
  4. Step 4: Simplify right side
    66,921x = 22,083,148,816
  5. Step 5: Solve for x
    x = 22,083,148,816/66,921
  6. Step 6: Final answer
    x = 329,988.33

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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.