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Finding the Third Proportional to 432,327.38 and 690,651.56

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Solution

The third proportional to 432,327.38 and 690,651.56 is: 1,103,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,327.38 : 690,651.56 = 690,651.56 : x
  2. Step 2: Convert to fraction form
    432,327.38/690,651.56 = 690,651.56/x
  3. Step 3: Cross multiply
    432,327.38x = 690,651.56 × 690,651.56
  4. Step 4: Simplify right side
    432,327.38x = 476,999,580,783.69
  5. Step 5: Solve for x
    x = 476,999,580,783.69/432,327.38
  6. Step 6: Final answer
    x = 1,103,329.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.