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Finding the Third Proportional to 175,378 and 378,782

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Solution

The third proportional to 175,378 and 378,782 is: 818,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,378 : 378,782 = 378,782 : x
  2. Step 2: Convert to fraction form
    175,378/378,782 = 378,782/x
  3. Step 3: Cross multiply
    175,378x = 378,782 × 378,782
  4. Step 4: Simplify right side
    175,378x = 143,475,803,524
  5. Step 5: Solve for x
    x = 143,475,803,524/175,378
  6. Step 6: Final answer
    x = 818,094.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.