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Finding the Third Proportional to 91,502 and 198,277

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Solution

The third proportional to 91,502 and 198,277 is: 429,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,502 : 198,277 = 198,277 : x
  2. Step 2: Convert to fraction form
    91,502/198,277 = 198,277/x
  3. Step 3: Cross multiply
    91,502x = 198,277 × 198,277
  4. Step 4: Simplify right side
    91,502x = 39,313,768,729
  5. Step 5: Solve for x
    x = 39,313,768,729/91,502
  6. Step 6: Final answer
    x = 429,649.28

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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.