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Finding the Third Proportional to 38,707 and 79,054

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Solution

The third proportional to 38,707 and 79,054 is: 161,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,707 : 79,054 = 79,054 : x
  2. Step 2: Convert to fraction form
    38,707/79,054 = 79,054/x
  3. Step 3: Cross multiply
    38,707x = 79,054 × 79,054
  4. Step 4: Simplify right side
    38,707x = 6,249,534,916
  5. Step 5: Solve for x
    x = 6,249,534,916/38,707
  6. Step 6: Final answer
    x = 161,457.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.