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Finding the Third Proportional to 155,774 and 221,997

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Solution

The third proportional to 155,774 and 221,997 is: 316,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,774 : 221,997 = 221,997 : x
  2. Step 2: Convert to fraction form
    155,774/221,997 = 221,997/x
  3. Step 3: Cross multiply
    155,774x = 221,997 × 221,997
  4. Step 4: Simplify right side
    155,774x = 49,282,668,009
  5. Step 5: Solve for x
    x = 49,282,668,009/155,774
  6. Step 6: Final answer
    x = 316,372.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.