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Finding the Third Proportional to 315,811 and 690,671

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Solution

The third proportional to 315,811 and 690,671 is: 1,510,480.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,811 : 690,671 = 690,671 : x
  2. Step 2: Convert to fraction form
    315,811/690,671 = 690,671/x
  3. Step 3: Cross multiply
    315,811x = 690,671 × 690,671
  4. Step 4: Simplify right side
    315,811x = 477,026,430,241
  5. Step 5: Solve for x
    x = 477,026,430,241/315,811
  6. Step 6: Final answer
    x = 1,510,480.73

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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.