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Finding the Third Proportional to 85,977.75 and 139,287

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Solution

The third proportional to 85,977.75 and 139,287 is: 225,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,977.75 : 139,287 = 139,287 : x
  2. Step 2: Convert to fraction form
    85,977.75/139,287 = 139,287/x
  3. Step 3: Cross multiply
    85,977.75x = 139,287 × 139,287
  4. Step 4: Simplify right side
    85,977.75x = 19,400,868,369
  5. Step 5: Solve for x
    x = 19,400,868,369/85,977.75
  6. Step 6: Final answer
    x = 225,649.87

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.