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Finding the Third Proportional to 10,557 and 23,204.25

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Solution

The third proportional to 10,557 and 23,204.25 is: 51,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557 : 23,204.25 = 23,204.25 : x
  2. Step 2: Convert to fraction form
    10,557/23,204.25 = 23,204.25/x
  3. Step 3: Cross multiply
    10,557x = 23,204.25 × 23,204.25
  4. Step 4: Simplify right side
    10,557x = 538,437,218.06
  5. Step 5: Solve for x
    x = 538,437,218.06/10,557
  6. Step 6: Final answer
    x = 51,002.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.