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Finding the Third Proportional to 77,806.50 and 158,463

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Solution

The third proportional to 77,806.50 and 158,463 is: 322,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,806.50 : 158,463 = 158,463 : x
  2. Step 2: Convert to fraction form
    77,806.50/158,463 = 158,463/x
  3. Step 3: Cross multiply
    77,806.50x = 158,463 × 158,463
  4. Step 4: Simplify right side
    77,806.50x = 25,110,522,369
  5. Step 5: Solve for x
    x = 25,110,522,369/77,806.50
  6. Step 6: Final answer
    x = 322,730.39

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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.