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Finding the Third Proportional to 22,803 and 33,579

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Solution

The third proportional to 22,803 and 33,579 is: 49,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803 : 33,579 = 33,579 : x
  2. Step 2: Convert to fraction form
    22,803/33,579 = 33,579/x
  3. Step 3: Cross multiply
    22,803x = 33,579 × 33,579
  4. Step 4: Simplify right side
    22,803x = 1,127,549,241
  5. Step 5: Solve for x
    x = 1,127,549,241/22,803
  6. Step 6: Final answer
    x = 49,447.41

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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.