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Finding the Third Proportional to 39,649 and 57,985

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Solution

The third proportional to 39,649 and 57,985 is: 84,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,649 : 57,985 = 57,985 : x
  2. Step 2: Convert to fraction form
    39,649/57,985 = 57,985/x
  3. Step 3: Cross multiply
    39,649x = 57,985 × 57,985
  4. Step 4: Simplify right side
    39,649x = 3,362,260,225
  5. Step 5: Solve for x
    x = 3,362,260,225/39,649
  6. Step 6: Final answer
    x = 84,800.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.