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Finding the Third Proportional to 39,388 and 57,930

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Solution

The third proportional to 39,388 and 57,930 is: 85,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,388 : 57,930 = 57,930 : x
  2. Step 2: Convert to fraction form
    39,388/57,930 = 57,930/x
  3. Step 3: Cross multiply
    39,388x = 57,930 × 57,930
  4. Step 4: Simplify right side
    39,388x = 3,355,884,900
  5. Step 5: Solve for x
    x = 3,355,884,900/39,388
  6. Step 6: Final answer
    x = 85,200.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.