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Finding the Third Proportional to 175,200 and 378,624

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Solution

The third proportional to 175,200 and 378,624 is: 818,242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,200 : 378,624 = 378,624 : x
  2. Step 2: Convert to fraction form
    175,200/378,624 = 378,624/x
  3. Step 3: Cross multiply
    175,200x = 378,624 × 378,624
  4. Step 4: Simplify right side
    175,200x = 143,356,133,376
  5. Step 5: Solve for x
    x = 143,356,133,376/175,200
  6. Step 6: Final answer
    x = 818,242.77

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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.