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Finding the Third Proportional to 91,779 and 139,415

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Solution

The third proportional to 91,779 and 139,415 is: 211,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,779 : 139,415 = 139,415 : x
  2. Step 2: Convert to fraction form
    91,779/139,415 = 139,415/x
  3. Step 3: Cross multiply
    91,779x = 139,415 × 139,415
  4. Step 4: Simplify right side
    91,779x = 19,436,542,225
  5. Step 5: Solve for x
    x = 19,436,542,225/91,779
  6. Step 6: Final answer
    x = 211,775.48

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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.