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Finding the Third Proportional to 43,197 and 93,627

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Solution

The third proportional to 43,197 and 93,627 is: 202,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,197 : 93,627 = 93,627 : x
  2. Step 2: Convert to fraction form
    43,197/93,627 = 93,627/x
  3. Step 3: Cross multiply
    43,197x = 93,627 × 93,627
  4. Step 4: Simplify right side
    43,197x = 8,766,015,129
  5. Step 5: Solve for x
    x = 8,766,015,129/43,197
  6. Step 6: Final answer
    x = 202,931.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.