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Finding the Third Proportional to 147,822 and 221,505

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Solution

The third proportional to 147,822 and 221,505 is: 331,915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,822 : 221,505 = 221,505 : x
  2. Step 2: Convert to fraction form
    147,822/221,505 = 221,505/x
  3. Step 3: Cross multiply
    147,822x = 221,505 × 221,505
  4. Step 4: Simplify right side
    147,822x = 49,064,465,025
  5. Step 5: Solve for x
    x = 49,064,465,025/147,822
  6. Step 6: Final answer
    x = 331,915.85

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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.