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Finding the Third Proportional to 152,622 and 224,366

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Solution

The third proportional to 152,622 and 224,366 is: 329,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,622 : 224,366 = 224,366 : x
  2. Step 2: Convert to fraction form
    152,622/224,366 = 224,366/x
  3. Step 3: Cross multiply
    152,622x = 224,366 × 224,366
  4. Step 4: Simplify right side
    152,622x = 50,340,101,956
  5. Step 5: Solve for x
    x = 50,340,101,956/152,622
  6. Step 6: Final answer
    x = 329,835.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.