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Finding the Third Proportional to 77,259 and 162,821

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Solution

The third proportional to 77,259 and 162,821 is: 343,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,259 : 162,821 = 162,821 : x
  2. Step 2: Convert to fraction form
    77,259/162,821 = 162,821/x
  3. Step 3: Cross multiply
    77,259x = 162,821 × 162,821
  4. Step 4: Simplify right side
    77,259x = 26,510,678,041
  5. Step 5: Solve for x
    x = 26,510,678,041/77,259
  6. Step 6: Final answer
    x = 343,140.32

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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.