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Finding the Third Proportional to 314,173.69 and 678,162.38

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Solution

The third proportional to 314,173.69 and 678,162.38 is: 1,463,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,173.69 : 678,162.38 = 678,162.38 : x
  2. Step 2: Convert to fraction form
    314,173.69/678,162.38 = 678,162.38/x
  3. Step 3: Cross multiply
    314,173.69x = 678,162.38 × 678,162.38
  4. Step 4: Simplify right side
    314,173.69x = 459,904,206,865.64
  5. Step 5: Solve for x
    x = 459,904,206,865.64/314,173.69
  6. Step 6: Final answer
    x = 1,463,853.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.