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Finding the Third Proportional to 312,022.13 and 445,884.75

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Solution

The third proportional to 312,022.13 and 445,884.75 is: 637,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,022.13 : 445,884.75 = 445,884.75 : x
  2. Step 2: Convert to fraction form
    312,022.13/445,884.75 = 445,884.75/x
  3. Step 3: Cross multiply
    312,022.13x = 445,884.75 × 445,884.75
  4. Step 4: Simplify right side
    312,022.13x = 198,813,210,282.56
  5. Step 5: Solve for x
    x = 198,813,210,282.56/312,022.13
  6. Step 6: Final answer
    x = 637,176.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.