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Finding the Third Proportional to 520,723.69 and 690,945.19

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Solution

The third proportional to 520,723.69 and 690,945.19 is: 916,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,723.69 : 690,945.19 = 690,945.19 : x
  2. Step 2: Convert to fraction form
    520,723.69/690,945.19 = 690,945.19/x
  3. Step 3: Cross multiply
    520,723.69x = 690,945.19 × 690,945.19
  4. Step 4: Simplify right side
    520,723.69x = 477,405,252,129.41
  5. Step 5: Solve for x
    x = 477,405,252,129.41/520,723.69
  6. Step 6: Final answer
    x = 916,811.09

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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.