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Finding the Third Proportional to 7,836,308 and 11,872,742

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Solution

The third proportional to 7,836,308 and 11,872,742 is: 17,988,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,308 : 11,872,742 = 11,872,742 : x
  2. Step 2: Convert to fraction form
    7,836,308/11,872,742 = 11,872,742/x
  3. Step 3: Cross multiply
    7,836,308x = 11,872,742 × 11,872,742
  4. Step 4: Simplify right side
    7,836,308x = 140,962,002,598,564
  5. Step 5: Solve for x
    x = 140,962,002,598,564/7,836,308
  6. Step 6: Final answer
    x = 17,988,318.30

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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.