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Finding the Third Proportional to 8,412,340.25 and 18,260,395.78

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Solution

The third proportional to 8,412,340.25 and 18,260,395.78 is: 39,637,252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412,340.25 : 18,260,395.78 = 18,260,395.78 : x
  2. Step 2: Convert to fraction form
    8,412,340.25/18,260,395.78 = 18,260,395.78/x
  3. Step 3: Cross multiply
    8,412,340.25x = 18,260,395.78 × 18,260,395.78
  4. Step 4: Simplify right side
    8,412,340.25x = 333,442,054,087,892.81
  5. Step 5: Solve for x
    x = 333,442,054,087,892.81/8,412,340.25
  6. Step 6: Final answer
    x = 39,637,252.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.