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Finding the Third Proportional to 150,578 and 221,711

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Solution

The third proportional to 150,578 and 221,711 is: 326,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,578 : 221,711 = 221,711 : x
  2. Step 2: Convert to fraction form
    150,578/221,711 = 221,711/x
  3. Step 3: Cross multiply
    150,578x = 221,711 × 221,711
  4. Step 4: Simplify right side
    150,578x = 49,155,767,521
  5. Step 5: Solve for x
    x = 49,155,767,521/150,578
  6. Step 6: Final answer
    x = 326,447.21

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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.