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Finding the Third Proportional to 100,742 and 217,222

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Solution

The third proportional to 100,742 and 217,222 is: 468,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,742 : 217,222 = 217,222 : x
  2. Step 2: Convert to fraction form
    100,742/217,222 = 217,222/x
  3. Step 3: Cross multiply
    100,742x = 217,222 × 217,222
  4. Step 4: Simplify right side
    100,742x = 47,185,397,284
  5. Step 5: Solve for x
    x = 47,185,397,284/100,742
  6. Step 6: Final answer
    x = 468,378.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.