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Finding the Third Proportional to 4,199,781 and 6,515,457

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Solution

The third proportional to 4,199,781 and 6,515,457 is: 10,107,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,781 : 6,515,457 = 6,515,457 : x
  2. Step 2: Convert to fraction form
    4,199,781/6,515,457 = 6,515,457/x
  3. Step 3: Cross multiply
    4,199,781x = 6,515,457 × 6,515,457
  4. Step 4: Simplify right side
    4,199,781x = 42,451,179,918,849
  5. Step 5: Solve for x
    x = 42,451,179,918,849/4,199,781
  6. Step 6: Final answer
    x = 10,107,950.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.