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Finding the Third Proportional to 255,736 and 378,646

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Solution

The third proportional to 255,736 and 378,646 is: 560,628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,736 : 378,646 = 378,646 : x
  2. Step 2: Convert to fraction form
    255,736/378,646 = 378,646/x
  3. Step 3: Cross multiply
    255,736x = 378,646 × 378,646
  4. Step 4: Simplify right side
    255,736x = 143,372,793,316
  5. Step 5: Solve for x
    x = 143,372,793,316/255,736
  6. Step 6: Final answer
    x = 560,628.12

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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.