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Finding the Third Proportional to 12,030.19 and 18,672.19

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Solution

The third proportional to 12,030.19 and 18,672.19 is: 28,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.19 : 18,672.19 = 18,672.19 : x
  2. Step 2: Convert to fraction form
    12,030.19/18,672.19 = 18,672.19/x
  3. Step 3: Cross multiply
    12,030.19x = 18,672.19 × 18,672.19
  4. Step 4: Simplify right side
    12,030.19x = 348,650,586.04
  5. Step 5: Solve for x
    x = 348,650,586.04/12,030.19
  6. Step 6: Final answer
    x = 28,981.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.