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Finding the Third Proportional to 39,660 and 57,998

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Solution

The third proportional to 39,660 and 57,998 is: 84,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,660 : 57,998 = 57,998 : x
  2. Step 2: Convert to fraction form
    39,660/57,998 = 57,998/x
  3. Step 3: Cross multiply
    39,660x = 57,998 × 57,998
  4. Step 4: Simplify right side
    39,660x = 3,363,768,004
  5. Step 5: Solve for x
    x = 3,363,768,004/39,660
  6. Step 6: Final answer
    x = 84,815.13

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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.