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Finding the Third Proportional to 58,974.75 and 128,315.25

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Solution

The third proportional to 58,974.75 and 128,315.25 is: 279,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,974.75 : 128,315.25 = 128,315.25 : x
  2. Step 2: Convert to fraction form
    58,974.75/128,315.25 = 128,315.25/x
  3. Step 3: Cross multiply
    58,974.75x = 128,315.25 × 128,315.25
  4. Step 4: Simplify right side
    58,974.75x = 16,464,803,382.56
  5. Step 5: Solve for x
    x = 16,464,803,382.56/58,974.75
  6. Step 6: Final answer
    x = 279,183.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.