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Finding the Third Proportional to 91,998 and 139,635

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Solution

The third proportional to 91,998 and 139,635 is: 211,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,998 : 139,635 = 139,635 : x
  2. Step 2: Convert to fraction form
    91,998/139,635 = 139,635/x
  3. Step 3: Cross multiply
    91,998x = 139,635 × 139,635
  4. Step 4: Simplify right side
    91,998x = 19,497,933,225
  5. Step 5: Solve for x
    x = 19,497,933,225/91,998
  6. Step 6: Final answer
    x = 211,938.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.