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Finding the Third Proportional to 315,857 and 690,766

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Solution

The third proportional to 315,857 and 690,766 is: 1,510,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,857 : 690,766 = 690,766 : x
  2. Step 2: Convert to fraction form
    315,857/690,766 = 690,766/x
  3. Step 3: Cross multiply
    315,857x = 690,766 × 690,766
  4. Step 4: Simplify right side
    315,857x = 477,157,666,756
  5. Step 5: Solve for x
    x = 477,157,666,756/315,857
  6. Step 6: Final answer
    x = 1,510,676.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.