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Finding the Third Proportional to 376,768 and 818,336

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Solution

The third proportional to 376,768 and 818,336 is: 1,777,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,768 : 818,336 = 818,336 : x
  2. Step 2: Convert to fraction form
    376,768/818,336 = 818,336/x
  3. Step 3: Cross multiply
    376,768x = 818,336 × 818,336
  4. Step 4: Simplify right side
    376,768x = 669,673,808,896
  5. Step 5: Solve for x
    x = 669,673,808,896/376,768
  6. Step 6: Final answer
    x = 1,777,416.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.