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Finding the Third Proportional to 147,429 and 220,911

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Solution

The third proportional to 147,429 and 220,911 is: 331,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,429 : 220,911 = 220,911 : x
  2. Step 2: Convert to fraction form
    147,429/220,911 = 220,911/x
  3. Step 3: Cross multiply
    147,429x = 220,911 × 220,911
  4. Step 4: Simplify right side
    147,429x = 48,801,669,921
  5. Step 5: Solve for x
    x = 48,801,669,921/147,429
  6. Step 6: Final answer
    x = 331,018.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.