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Finding the Third Proportional to 91,097 and 122,566

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Solution

The third proportional to 91,097 and 122,566 is: 164,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,097 : 122,566 = 122,566 : x
  2. Step 2: Convert to fraction form
    91,097/122,566 = 122,566/x
  3. Step 3: Cross multiply
    91,097x = 122,566 × 122,566
  4. Step 4: Simplify right side
    91,097x = 15,022,424,356
  5. Step 5: Solve for x
    x = 15,022,424,356/91,097
  6. Step 6: Final answer
    x = 164,905.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.