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Finding the Third Proportional to 6,100,294.78 and 8,814,600.98

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Solution

The third proportional to 6,100,294.78 and 8,814,600.98 is: 12,736,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100,294.78 : 8,814,600.98 = 8,814,600.98 : x
  2. Step 2: Convert to fraction form
    6,100,294.78/8,814,600.98 = 8,814,600.98/x
  3. Step 3: Cross multiply
    6,100,294.78x = 8,814,600.98 × 8,814,600.98
  4. Step 4: Simplify right side
    6,100,294.78x = 77,697,190,513,744.72
  5. Step 5: Solve for x
    x = 77,697,190,513,744.72/6,100,294.78
  6. Step 6: Final answer
    x = 12,736,628.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.