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Finding the Third Proportional to 3,139,690 and 6,781,256

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Solution

The third proportional to 3,139,690 and 6,781,256 is: 14,646,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139,690 : 6,781,256 = 6,781,256 : x
  2. Step 2: Convert to fraction form
    3,139,690/6,781,256 = 6,781,256/x
  3. Step 3: Cross multiply
    3,139,690x = 6,781,256 × 6,781,256
  4. Step 4: Simplify right side
    3,139,690x = 45,985,432,937,536
  5. Step 5: Solve for x
    x = 45,985,432,937,536/3,139,690
  6. Step 6: Final answer
    x = 14,646,488.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.