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Finding the Third Proportional to 157,823 and 221,991

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Solution

The third proportional to 157,823 and 221,991 is: 312,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,823 : 221,991 = 221,991 : x
  2. Step 2: Convert to fraction form
    157,823/221,991 = 221,991/x
  3. Step 3: Cross multiply
    157,823x = 221,991 × 221,991
  4. Step 4: Simplify right side
    157,823x = 49,280,004,081
  5. Step 5: Solve for x
    x = 49,280,004,081/157,823
  6. Step 6: Final answer
    x = 312,248.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.