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Finding the Third Proportional to 5,099.63 and 10,810.97

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Solution

The third proportional to 5,099.63 and 10,810.97 is: 22,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.63 : 10,810.97 = 10,810.97 : x
  2. Step 2: Convert to fraction form
    5,099.63/10,810.97 = 10,810.97/x
  3. Step 3: Cross multiply
    5,099.63x = 10,810.97 × 10,810.97
  4. Step 4: Simplify right side
    5,099.63x = 116,877,045.31
  5. Step 5: Solve for x
    x = 116,877,045.31/5,099.63
  6. Step 6: Final answer
    x = 22,918.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.