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Finding the Third Proportional to 376,708 and 815,624

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Solution

The third proportional to 376,708 and 815,624 is: 1,765,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,708 : 815,624 = 815,624 : x
  2. Step 2: Convert to fraction form
    376,708/815,624 = 815,624/x
  3. Step 3: Cross multiply
    376,708x = 815,624 × 815,624
  4. Step 4: Simplify right side
    376,708x = 665,242,509,376
  5. Step 5: Solve for x
    x = 665,242,509,376/376,708
  6. Step 6: Final answer
    x = 1,765,936.77

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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.