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Finding the Third Proportional to 12,142,497.38 and 18,462,380.63

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Solution

The third proportional to 12,142,497.38 and 18,462,380.63 is: 28,071,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142,497.38 : 18,462,380.63 = 18,462,380.63 : x
  2. Step 2: Convert to fraction form
    12,142,497.38/18,462,380.63 = 18,462,380.63/x
  3. Step 3: Cross multiply
    12,142,497.38x = 18,462,380.63 × 18,462,380.63
  4. Step 4: Simplify right side
    12,142,497.38x = 340,859,498,342,375.38
  5. Step 5: Solve for x
    x = 340,859,498,342,375.38/12,142,497.38
  6. Step 6: Final answer
    x = 28,071,613.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.