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Finding the Third Proportional to 8,653,740 and 18,465,864

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Solution

The third proportional to 8,653,740 and 18,465,864 is: 39,403,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653,740 : 18,465,864 = 18,465,864 : x
  2. Step 2: Convert to fraction form
    8,653,740/18,465,864 = 18,465,864/x
  3. Step 3: Cross multiply
    8,653,740x = 18,465,864 × 18,465,864
  4. Step 4: Simplify right side
    8,653,740x = 340,988,133,266,496
  5. Step 5: Solve for x
    x = 340,988,133,266,496/8,653,740
  6. Step 6: Final answer
    x = 39,403,556.53

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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.