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Finding the Third Proportional to 91,088 and 197,728

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Solution

The third proportional to 91,088 and 197,728 is: 429,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,088 : 197,728 = 197,728 : x
  2. Step 2: Convert to fraction form
    91,088/197,728 = 197,728/x
  3. Step 3: Cross multiply
    91,088x = 197,728 × 197,728
  4. Step 4: Simplify right side
    91,088x = 39,096,361,984
  5. Step 5: Solve for x
    x = 39,096,361,984/91,088
  6. Step 6: Final answer
    x = 429,215.29

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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.