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Finding the Third Proportional to 101,850 and 221,772

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Solution

The third proportional to 101,850 and 221,772 is: 482,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,850 : 221,772 = 221,772 : x
  2. Step 2: Convert to fraction form
    101,850/221,772 = 221,772/x
  3. Step 3: Cross multiply
    101,850x = 221,772 × 221,772
  4. Step 4: Simplify right side
    101,850x = 49,182,819,984
  5. Step 5: Solve for x
    x = 49,182,819,984/101,850
  6. Step 6: Final answer
    x = 482,894.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.