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Finding the Third Proportional to 3,200,640 and 6,950,784

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Solution

The third proportional to 3,200,640 and 6,950,784 is: 15,094,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200,640 : 6,950,784 = 6,950,784 : x
  2. Step 2: Convert to fraction form
    3,200,640/6,950,784 = 6,950,784/x
  3. Step 3: Cross multiply
    3,200,640x = 6,950,784 × 6,950,784
  4. Step 4: Simplify right side
    3,200,640x = 48,313,398,214,656
  5. Step 5: Solve for x
    x = 48,313,398,214,656/3,200,640
  6. Step 6: Final answer
    x = 15,094,917.96

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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.