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Finding the Third Proportional to 432.56 and 903.19

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Solution

The third proportional to 432.56 and 903.19 is: 1,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 903.19 = 903.19 : x
  2. Step 2: Convert to fraction form
    432.56/903.19 = 903.19/x
  3. Step 3: Cross multiply
    432.56x = 903.19 × 903.19
  4. Step 4: Simplify right side
    432.56x = 815,747.66
  5. Step 5: Solve for x
    x = 815,747.66/432.56
  6. Step 6: Final answer
    x = 1,885.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.