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Finding the Third Proportional to 2,213.63 and 4,852.13

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Solution

The third proportional to 2,213.63 and 4,852.13 is: 10,635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.63 : 4,852.13 = 4,852.13 : x
  2. Step 2: Convert to fraction form
    2,213.63/4,852.13 = 4,852.13/x
  3. Step 3: Cross multiply
    2,213.63x = 4,852.13 × 4,852.13
  4. Step 4: Simplify right side
    2,213.63x = 23,543,117.02
  5. Step 5: Solve for x
    x = 23,543,117.02/2,213.63
  6. Step 6: Final answer
    x = 10,635.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.