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Finding the Third Proportional to 22,133.25 and 46,767.38

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Solution

The third proportional to 22,133.25 and 46,767.38 is: 98,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,133.25 : 46,767.38 = 46,767.38 : x
  2. Step 2: Convert to fraction form
    22,133.25/46,767.38 = 46,767.38/x
  3. Step 3: Cross multiply
    22,133.25x = 46,767.38 × 46,767.38
  4. Step 4: Simplify right side
    22,133.25x = 2,187,187,364.39
  5. Step 5: Solve for x
    x = 2,187,187,364.39/22,133.25
  6. Step 6: Final answer
    x = 98,819.08

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.