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Finding the Third Proportional to 8,386,906 and 18,344,078

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Solution

The third proportional to 8,386,906 and 18,344,078 is: 40,122,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386,906 : 18,344,078 = 18,344,078 : x
  2. Step 2: Convert to fraction form
    8,386,906/18,344,078 = 18,344,078/x
  3. Step 3: Cross multiply
    8,386,906x = 18,344,078 × 18,344,078
  4. Step 4: Simplify right side
    8,386,906x = 336,505,197,670,084
  5. Step 5: Solve for x
    x = 336,505,197,670,084/8,386,906
  6. Step 6: Final answer
    x = 40,122,686.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.