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Finding the Third Proportional to 8,530.31 and 12,729.66

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Solution

The third proportional to 8,530.31 and 12,729.66 is: 18,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.31 : 12,729.66 = 12,729.66 : x
  2. Step 2: Convert to fraction form
    8,530.31/12,729.66 = 12,729.66/x
  3. Step 3: Cross multiply
    8,530.31x = 12,729.66 × 12,729.66
  4. Step 4: Simplify right side
    8,530.31x = 162,044,148.24
  5. Step 5: Solve for x
    x = 162,044,148.24/8,530.31
  6. Step 6: Final answer
    x = 18,996.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.