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Finding the Third Proportional to 312,246.77 and 649,037.81

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Solution

The third proportional to 312,246.77 and 649,037.81 is: 1,349,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,246.77 : 649,037.81 = 649,037.81 : x
  2. Step 2: Convert to fraction form
    312,246.77/649,037.81 = 649,037.81/x
  3. Step 3: Cross multiply
    312,246.77x = 649,037.81 × 649,037.81
  4. Step 4: Simplify right side
    312,246.77x = 421,250,082,054.79
  5. Step 5: Solve for x
    x = 421,250,082,054.79/312,246.77
  6. Step 6: Final answer
    x = 1,349,093.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.