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Finding the Third Proportional to 39,239 and 85,768

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Solution

The third proportional to 39,239 and 85,768 is: 187,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,239 : 85,768 = 85,768 : x
  2. Step 2: Convert to fraction form
    39,239/85,768 = 85,768/x
  3. Step 3: Cross multiply
    39,239x = 85,768 × 85,768
  4. Step 4: Simplify right side
    39,239x = 7,356,149,824
  5. Step 5: Solve for x
    x = 7,356,149,824/39,239
  6. Step 6: Final answer
    x = 187,470.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.