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Finding the Third Proportional to 77,647.50 and 166,368.38

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Solution

The third proportional to 77,647.50 and 166,368.38 is: 356,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,647.50 : 166,368.38 = 166,368.38 : x
  2. Step 2: Convert to fraction form
    77,647.50/166,368.38 = 166,368.38/x
  3. Step 3: Cross multiply
    77,647.50x = 166,368.38 × 166,368.38
  4. Step 4: Simplify right side
    77,647.50x = 27,678,436,200.14
  5. Step 5: Solve for x
    x = 27,678,436,200.14/77,647.50
  6. Step 6: Final answer
    x = 356,462.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.