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Finding the Third Proportional to 39,784 and 55,770

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Solution

The third proportional to 39,784 and 55,770 is: 78,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,784 : 55,770 = 55,770 : x
  2. Step 2: Convert to fraction form
    39,784/55,770 = 55,770/x
  3. Step 3: Cross multiply
    39,784x = 55,770 × 55,770
  4. Step 4: Simplify right side
    39,784x = 3,110,292,900
  5. Step 5: Solve for x
    x = 3,110,292,900/39,784
  6. Step 6: Final answer
    x = 78,179.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.