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Finding the Third Proportional to 20,589.19 and 31,207.78

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Solution

The third proportional to 20,589.19 and 31,207.78 is: 47,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.19 : 31,207.78 = 31,207.78 : x
  2. Step 2: Convert to fraction form
    20,589.19/31,207.78 = 31,207.78/x
  3. Step 3: Cross multiply
    20,589.19x = 31,207.78 × 31,207.78
  4. Step 4: Simplify right side
    20,589.19x = 973,925,610.55
  5. Step 5: Solve for x
    x = 973,925,610.55/20,589.19
  6. Step 6: Final answer
    x = 47,302.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.