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Finding the Third Proportional to 36,386 and 78,928

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Solution

The third proportional to 36,386 and 78,928 is: 171,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,386 : 78,928 = 78,928 : x
  2. Step 2: Convert to fraction form
    36,386/78,928 = 78,928/x
  3. Step 3: Cross multiply
    36,386x = 78,928 × 78,928
  4. Step 4: Simplify right side
    36,386x = 6,229,629,184
  5. Step 5: Solve for x
    x = 6,229,629,184/36,386
  6. Step 6: Final answer
    x = 171,209.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.