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Finding the Third Proportional to 39,770 and 86,912

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Solution

The third proportional to 39,770 and 86,912 is: 189,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,770 : 86,912 = 86,912 : x
  2. Step 2: Convert to fraction form
    39,770/86,912 = 86,912/x
  3. Step 3: Cross multiply
    39,770x = 86,912 × 86,912
  4. Step 4: Simplify right side
    39,770x = 7,553,695,744
  5. Step 5: Solve for x
    x = 7,553,695,744/39,770
  6. Step 6: Final answer
    x = 189,934.52

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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.