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Finding the Third Proportional to 157,815 and 221,979

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Solution

The third proportional to 157,815 and 221,979 is: 312,230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,815 : 221,979 = 221,979 : x
  2. Step 2: Convert to fraction form
    157,815/221,979 = 221,979/x
  3. Step 3: Cross multiply
    157,815x = 221,979 × 221,979
  4. Step 4: Simplify right side
    157,815x = 49,274,676,441
  5. Step 5: Solve for x
    x = 49,274,676,441/157,815
  6. Step 6: Final answer
    x = 312,230.63

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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.