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Finding the Third Proportional to 10,877 and 23,333

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Solution

The third proportional to 10,877 and 23,333 is: 50,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877 : 23,333 = 23,333 : x
  2. Step 2: Convert to fraction form
    10,877/23,333 = 23,333/x
  3. Step 3: Cross multiply
    10,877x = 23,333 × 23,333
  4. Step 4: Simplify right side
    10,877x = 544,428,889
  5. Step 5: Solve for x
    x = 544,428,889/10,877
  6. Step 6: Final answer
    x = 50,053.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.