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Finding the Third Proportional to 101,153 and 221,656

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Solution

The third proportional to 101,153 and 221,656 is: 485,713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,153 : 221,656 = 221,656 : x
  2. Step 2: Convert to fraction form
    101,153/221,656 = 221,656/x
  3. Step 3: Cross multiply
    101,153x = 221,656 × 221,656
  4. Step 4: Simplify right side
    101,153x = 49,131,382,336
  5. Step 5: Solve for x
    x = 49,131,382,336/101,153
  6. Step 6: Final answer
    x = 485,713.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.