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Finding the Third Proportional to 77,289 and 162,882

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Solution

The third proportional to 77,289 and 162,882 is: 343,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,289 : 162,882 = 162,882 : x
  2. Step 2: Convert to fraction form
    77,289/162,882 = 162,882/x
  3. Step 3: Cross multiply
    77,289x = 162,882 × 162,882
  4. Step 4: Simplify right side
    77,289x = 26,530,545,924
  5. Step 5: Solve for x
    x = 26,530,545,924/77,289
  6. Step 6: Final answer
    x = 343,264.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.