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Finding the Third Proportional to 357,723 and 756,857

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Solution

The third proportional to 357,723 and 756,857 is: 1,601,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,723 : 756,857 = 756,857 : x
  2. Step 2: Convert to fraction form
    357,723/756,857 = 756,857/x
  3. Step 3: Cross multiply
    357,723x = 756,857 × 756,857
  4. Step 4: Simplify right side
    357,723x = 572,832,518,449
  5. Step 5: Solve for x
    x = 572,832,518,449/357,723
  6. Step 6: Final answer
    x = 1,601,329.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.