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Finding the Third Proportional to 99,657 and 149,211

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Solution

The third proportional to 99,657 and 149,211 is: 223,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,657 : 149,211 = 149,211 : x
  2. Step 2: Convert to fraction form
    99,657/149,211 = 149,211/x
  3. Step 3: Cross multiply
    99,657x = 149,211 × 149,211
  4. Step 4: Simplify right side
    99,657x = 22,263,922,521
  5. Step 5: Solve for x
    x = 22,263,922,521/99,657
  6. Step 6: Final answer
    x = 223,405.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.