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Finding the Third Proportional to 77,916.38 and 168,288.75

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Solution

The third proportional to 77,916.38 and 168,288.75 is: 363,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,916.38 : 168,288.75 = 168,288.75 : x
  2. Step 2: Convert to fraction form
    77,916.38/168,288.75 = 168,288.75/x
  3. Step 3: Cross multiply
    77,916.38x = 168,288.75 × 168,288.75
  4. Step 4: Simplify right side
    77,916.38x = 28,321,103,376.56
  5. Step 5: Solve for x
    x = 28,321,103,376.56/77,916.38
  6. Step 6: Final answer
    x = 363,480.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.