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Finding the Third Proportional to 39,929 and 84,726

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Solution

The third proportional to 39,929 and 84,726 is: 179,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,929 : 84,726 = 84,726 : x
  2. Step 2: Convert to fraction form
    39,929/84,726 = 84,726/x
  3. Step 3: Cross multiply
    39,929x = 84,726 × 84,726
  4. Step 4: Simplify right side
    39,929x = 7,178,495,076
  5. Step 5: Solve for x
    x = 7,178,495,076/39,929
  6. Step 6: Final answer
    x = 179,781.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.