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Finding the Third Proportional to 91,128 and 197,230

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Solution

The third proportional to 91,128 and 197,230 is: 426,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,128 : 197,230 = 197,230 : x
  2. Step 2: Convert to fraction form
    91,128/197,230 = 197,230/x
  3. Step 3: Cross multiply
    91,128x = 197,230 × 197,230
  4. Step 4: Simplify right side
    91,128x = 38,899,672,900
  5. Step 5: Solve for x
    x = 38,899,672,900/91,128
  6. Step 6: Final answer
    x = 426,868.50

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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.