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Finding the Third Proportional to 77,868 and 173,259

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Solution

The third proportional to 77,868 and 173,259 is: 385,507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,868 : 173,259 = 173,259 : x
  2. Step 2: Convert to fraction form
    77,868/173,259 = 173,259/x
  3. Step 3: Cross multiply
    77,868x = 173,259 × 173,259
  4. Step 4: Simplify right side
    77,868x = 30,018,681,081
  5. Step 5: Solve for x
    x = 30,018,681,081/77,868
  6. Step 6: Final answer
    x = 385,507.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.