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Finding the Third Proportional to 12,861,728 and 27,960,640

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Solution

The third proportional to 12,861,728 and 27,960,640 is: 60,784,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861,728 : 27,960,640 = 27,960,640 : x
  2. Step 2: Convert to fraction form
    12,861,728/27,960,640 = 27,960,640/x
  3. Step 3: Cross multiply
    12,861,728x = 27,960,640 × 27,960,640
  4. Step 4: Simplify right side
    12,861,728x = 781,797,389,209,600
  5. Step 5: Solve for x
    x = 781,797,389,209,600/12,861,728
  6. Step 6: Final answer
    x = 60,784,786.40

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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.