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Finding the Third Proportional to 255,706 and 378,612

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Solution

The third proportional to 255,706 and 378,612 is: 560,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,706 : 378,612 = 378,612 : x
  2. Step 2: Convert to fraction form
    255,706/378,612 = 378,612/x
  3. Step 3: Cross multiply
    255,706x = 378,612 × 378,612
  4. Step 4: Simplify right side
    255,706x = 143,347,046,544
  5. Step 5: Solve for x
    x = 143,347,046,544/255,706
  6. Step 6: Final answer
    x = 560,593.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.