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Finding the Third Proportional to 312,897.94 and 448,021.13

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Solution

The third proportional to 312,897.94 and 448,021.13 is: 641,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,897.94 : 448,021.13 = 448,021.13 : x
  2. Step 2: Convert to fraction form
    312,897.94/448,021.13 = 448,021.13/x
  3. Step 3: Cross multiply
    312,897.94x = 448,021.13 × 448,021.13
  4. Step 4: Simplify right side
    312,897.94x = 200,722,928,446.27
  5. Step 5: Solve for x
    x = 200,722,928,446.27/312,897.94
  6. Step 6: Final answer
    x = 641,496.49

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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.