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Finding the Third Proportional to 520,720.31 and 690,936.75

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Solution

The third proportional to 520,720.31 and 690,936.75 is: 916,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,720.31 : 690,936.75 = 690,936.75 : x
  2. Step 2: Convert to fraction form
    520,720.31/690,936.75 = 690,936.75/x
  3. Step 3: Cross multiply
    520,720.31x = 690,936.75 × 690,936.75
  4. Step 4: Simplify right side
    520,720.31x = 477,393,592,500.56
  5. Step 5: Solve for x
    x = 477,393,592,500.56/520,720.31
  6. Step 6: Final answer
    x = 916,794.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.