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Finding the Third Proportional to 312,844 and 448,314

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Solution

The third proportional to 312,844 and 448,314 is: 642,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844 : 448,314 = 448,314 : x
  2. Step 2: Convert to fraction form
    312,844/448,314 = 448,314/x
  3. Step 3: Cross multiply
    312,844x = 448,314 × 448,314
  4. Step 4: Simplify right side
    312,844x = 200,985,442,596
  5. Step 5: Solve for x
    x = 200,985,442,596/312,844
  6. Step 6: Final answer
    x = 642,446.21

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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.