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Finding the Third Proportional to 313,500 and 448,128

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Solution

The third proportional to 313,500 and 448,128 is: 640,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,500 : 448,128 = 448,128 : x
  2. Step 2: Convert to fraction form
    313,500/448,128 = 448,128/x
  3. Step 3: Cross multiply
    313,500x = 448,128 × 448,128
  4. Step 4: Simplify right side
    313,500x = 200,818,704,384
  5. Step 5: Solve for x
    x = 200,818,704,384/313,500
  6. Step 6: Final answer
    x = 640,570.03

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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.