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Finding the Third Proportional to 12,475.31 and 18,348.19

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Solution

The third proportional to 12,475.31 and 18,348.19 is: 26,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.31 : 18,348.19 = 18,348.19 : x
  2. Step 2: Convert to fraction form
    12,475.31/18,348.19 = 18,348.19/x
  3. Step 3: Cross multiply
    12,475.31x = 18,348.19 × 18,348.19
  4. Step 4: Simplify right side
    12,475.31x = 336,655,984.54
  5. Step 5: Solve for x
    x = 336,655,984.54/12,475.31
  6. Step 6: Final answer
    x = 26,985.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.