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Finding the Third Proportional to 175,380 and 378,784

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Solution

The third proportional to 175,380 and 378,784 is: 818,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,380 : 378,784 = 378,784 : x
  2. Step 2: Convert to fraction form
    175,380/378,784 = 378,784/x
  3. Step 3: Cross multiply
    175,380x = 378,784 × 378,784
  4. Step 4: Simplify right side
    175,380x = 143,477,318,656
  5. Step 5: Solve for x
    x = 143,477,318,656/175,380
  6. Step 6: Final answer
    x = 818,093.96

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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.