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Finding the Third Proportional to 4,491.49 and 10,490.77

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Solution

The third proportional to 4,491.49 and 10,490.77 is: 24,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.49 : 10,490.77 = 10,490.77 : x
  2. Step 2: Convert to fraction form
    4,491.49/10,490.77 = 10,490.77/x
  3. Step 3: Cross multiply
    4,491.49x = 10,490.77 × 10,490.77
  4. Step 4: Simplify right side
    4,491.49x = 110,056,163.40
  5. Step 5: Solve for x
    x = 110,056,163.40/4,491.49
  6. Step 6: Final answer
    x = 24,503.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.