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Finding the Third Proportional to 8,653,729.50 and 18,465,843.38

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Solution

The third proportional to 8,653,729.50 and 18,465,843.38 is: 39,403,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653,729.50 : 18,465,843.38 = 18,465,843.38 : x
  2. Step 2: Convert to fraction form
    8,653,729.50/18,465,843.38 = 18,465,843.38/x
  3. Step 3: Cross multiply
    8,653,729.50x = 18,465,843.38 × 18,465,843.38
  4. Step 4: Simplify right side
    8,653,729.50x = 340,987,371,550,031.38
  5. Step 5: Solve for x
    x = 340,987,371,550,031.38/8,653,729.50
  6. Step 6: Final answer
    x = 39,403,516.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.