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Finding the Third Proportional to 315,872 and 690,788

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Solution

The third proportional to 315,872 and 690,788 is: 1,510,700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,872 : 690,788 = 690,788 : x
  2. Step 2: Convert to fraction form
    315,872/690,788 = 690,788/x
  3. Step 3: Cross multiply
    315,872x = 690,788 × 690,788
  4. Step 4: Simplify right side
    315,872x = 477,188,060,944
  5. Step 5: Solve for x
    x = 477,188,060,944/315,872
  6. Step 6: Final answer
    x = 1,510,700.73

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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.