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Finding the Third Proportional to 22,303 and 33,643.50

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Solution

The third proportional to 22,303 and 33,643.50 is: 50,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303 : 33,643.50 = 33,643.50 : x
  2. Step 2: Convert to fraction form
    22,303/33,643.50 = 33,643.50/x
  3. Step 3: Cross multiply
    22,303x = 33,643.50 × 33,643.50
  4. Step 4: Simplify right side
    22,303x = 1,131,885,092.25
  5. Step 5: Solve for x
    x = 1,131,885,092.25/22,303
  6. Step 6: Final answer
    x = 50,750.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.