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Finding the Third Proportional to 22,709 and 33,333

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Solution

The third proportional to 22,709 and 33,333 is: 48,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709 : 33,333 = 33,333 : x
  2. Step 2: Convert to fraction form
    22,709/33,333 = 33,333/x
  3. Step 3: Cross multiply
    22,709x = 33,333 × 33,333
  4. Step 4: Simplify right side
    22,709x = 1,111,088,889
  5. Step 5: Solve for x
    x = 1,111,088,889/22,709
  6. Step 6: Final answer
    x = 48,927.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.