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Finding the Third Proportional to 312,768 and 445,632

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Solution

The third proportional to 312,768 and 445,632 is: 634,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,768 : 445,632 = 445,632 : x
  2. Step 2: Convert to fraction form
    312,768/445,632 = 445,632/x
  3. Step 3: Cross multiply
    312,768x = 445,632 × 445,632
  4. Step 4: Simplify right side
    312,768x = 198,587,879,424
  5. Step 5: Solve for x
    x = 198,587,879,424/312,768
  6. Step 6: Final answer
    x = 634,936.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.