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Finding the Third Proportional to 175,376 and 378,778

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Solution

The third proportional to 175,376 and 378,778 is: 818,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,376 : 378,778 = 378,778 : x
  2. Step 2: Convert to fraction form
    175,376/378,778 = 378,778/x
  3. Step 3: Cross multiply
    175,376x = 378,778 × 378,778
  4. Step 4: Simplify right side
    175,376x = 143,472,773,284
  5. Step 5: Solve for x
    x = 143,472,773,284/175,376
  6. Step 6: Final answer
    x = 818,086.70

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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.