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Finding the Third Proportional to 432,867 and 665,716.50

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Solution

The third proportional to 432,867 and 665,716.50 is: 1,023,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,867 : 665,716.50 = 665,716.50 : x
  2. Step 2: Convert to fraction form
    432,867/665,716.50 = 665,716.50/x
  3. Step 3: Cross multiply
    432,867x = 665,716.50 × 665,716.50
  4. Step 4: Simplify right side
    432,867x = 443,178,458,372.25
  5. Step 5: Solve for x
    x = 443,178,458,372.25/432,867
  6. Step 6: Final answer
    x = 1,023,821.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.