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Finding the Third Proportional to 20,432.63 and 31,243.13

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Solution

The third proportional to 20,432.63 and 31,243.13 is: 47,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,432.63 : 31,243.13 = 31,243.13 : x
  2. Step 2: Convert to fraction form
    20,432.63/31,243.13 = 31,243.13/x
  3. Step 3: Cross multiply
    20,432.63x = 31,243.13 × 31,243.13
  4. Step 4: Simplify right side
    20,432.63x = 976,132,859.77
  5. Step 5: Solve for x
    x = 976,132,859.77/20,432.63
  6. Step 6: Final answer
    x = 47,773.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.