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Finding the Third Proportional to 312,923.25 and 675,732.38

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Solution

The third proportional to 312,923.25 and 675,732.38 is: 1,459,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,923.25 : 675,732.38 = 675,732.38 : x
  2. Step 2: Convert to fraction form
    312,923.25/675,732.38 = 675,732.38/x
  3. Step 3: Cross multiply
    312,923.25x = 675,732.38 × 675,732.38
  4. Step 4: Simplify right side
    312,923.25x = 456,614,242,623.14
  5. Step 5: Solve for x
    x = 456,614,242,623.14/312,923.25
  6. Step 6: Final answer
    x = 1,459,189.25

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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.