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Finding the Third Proportional to 157,800 and 221,956

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Solution

The third proportional to 157,800 and 221,956 is: 312,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,800 : 221,956 = 221,956 : x
  2. Step 2: Convert to fraction form
    157,800/221,956 = 221,956/x
  3. Step 3: Cross multiply
    157,800x = 221,956 × 221,956
  4. Step 4: Simplify right side
    157,800x = 49,264,465,936
  5. Step 5: Solve for x
    x = 49,264,465,936/157,800
  6. Step 6: Final answer
    x = 312,195.60

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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.