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Finding the Third Proportional to 8,638.31 and 13,339.13

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Solution

The third proportional to 8,638.31 and 13,339.13 is: 20,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.31 : 13,339.13 = 13,339.13 : x
  2. Step 2: Convert to fraction form
    8,638.31/13,339.13 = 13,339.13/x
  3. Step 3: Cross multiply
    8,638.31x = 13,339.13 × 13,339.13
  4. Step 4: Simplify right side
    8,638.31x = 177,932,255.77
  5. Step 5: Solve for x
    x = 177,932,255.77/8,638.31
  6. Step 6: Final answer
    x = 20,598.03

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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.