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Finding the Third Proportional to 39,006 and 91,985

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Solution

The third proportional to 39,006 and 91,985 is: 216,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,006 : 91,985 = 91,985 : x
  2. Step 2: Convert to fraction form
    39,006/91,985 = 91,985/x
  3. Step 3: Cross multiply
    39,006x = 91,985 × 91,985
  4. Step 4: Simplify right side
    39,006x = 8,461,240,225
  5. Step 5: Solve for x
    x = 8,461,240,225/39,006
  6. Step 6: Final answer
    x = 216,921.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.