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Finding the Third Proportional to 315,868 and 690,780

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Solution

The third proportional to 315,868 and 690,780 is: 1,510,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,868 : 690,780 = 690,780 : x
  2. Step 2: Convert to fraction form
    315,868/690,780 = 690,780/x
  3. Step 3: Cross multiply
    315,868x = 690,780 × 690,780
  4. Step 4: Simplify right side
    315,868x = 477,177,008,400
  5. Step 5: Solve for x
    x = 477,177,008,400/315,868
  6. Step 6: Final answer
    x = 1,510,684.87

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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.