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Finding the Third Proportional to 101,286 and 221,658

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Solution

The third proportional to 101,286 and 221,658 is: 485,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,286 : 221,658 = 221,658 : x
  2. Step 2: Convert to fraction form
    101,286/221,658 = 221,658/x
  3. Step 3: Cross multiply
    101,286x = 221,658 × 221,658
  4. Step 4: Simplify right side
    101,286x = 49,132,268,964
  5. Step 5: Solve for x
    x = 49,132,268,964/101,286
  6. Step 6: Final answer
    x = 485,084.50

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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.