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Finding the Third Proportional to 378,394 and 569,180

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Solution

The third proportional to 378,394 and 569,180 is: 856,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,394 : 569,180 = 569,180 : x
  2. Step 2: Convert to fraction form
    378,394/569,180 = 569,180/x
  3. Step 3: Cross multiply
    378,394x = 569,180 × 569,180
  4. Step 4: Simplify right side
    378,394x = 323,965,872,400
  5. Step 5: Solve for x
    x = 323,965,872,400/378,394
  6. Step 6: Final answer
    x = 856,160.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.