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Finding the Third Proportional to 22,940 and 32,303

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Solution

The third proportional to 22,940 and 32,303 is: 45,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940 : 32,303 = 32,303 : x
  2. Step 2: Convert to fraction form
    22,940/32,303 = 32,303/x
  3. Step 3: Cross multiply
    22,940x = 32,303 × 32,303
  4. Step 4: Simplify right side
    22,940x = 1,043,483,809
  5. Step 5: Solve for x
    x = 1,043,483,809/22,940
  6. Step 6: Final answer
    x = 45,487.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.