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Finding the Third Proportional to 312,632.16 and 636,313.22

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Solution

The third proportional to 312,632.16 and 636,313.22 is: 1,295,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,632.16 : 636,313.22 = 636,313.22 : x
  2. Step 2: Convert to fraction form
    312,632.16/636,313.22 = 636,313.22/x
  3. Step 3: Cross multiply
    312,632.16x = 636,313.22 × 636,313.22
  4. Step 4: Simplify right side
    312,632.16x = 404,894,512,355.99
  5. Step 5: Solve for x
    x = 404,894,512,355.99/312,632.16
  6. Step 6: Final answer
    x = 1,295,114.74

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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.