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Finding the Third Proportional to 148,002 and 221,130

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Solution

The third proportional to 148,002 and 221,130 is: 330,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,002 : 221,130 = 221,130 : x
  2. Step 2: Convert to fraction form
    148,002/221,130 = 221,130/x
  3. Step 3: Cross multiply
    148,002x = 221,130 × 221,130
  4. Step 4: Simplify right side
    148,002x = 48,898,476,900
  5. Step 5: Solve for x
    x = 48,898,476,900/148,002
  6. Step 6: Final answer
    x = 330,390.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.