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Finding the Third Proportional to 313,512 and 448,146

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Solution

The third proportional to 313,512 and 448,146 is: 640,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,512 : 448,146 = 448,146 : x
  2. Step 2: Convert to fraction form
    313,512/448,146 = 448,146/x
  3. Step 3: Cross multiply
    313,512x = 448,146 × 448,146
  4. Step 4: Simplify right side
    313,512x = 200,834,837,316
  5. Step 5: Solve for x
    x = 200,834,837,316/313,512
  6. Step 6: Final answer
    x = 640,596.97

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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.