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Finding the Third Proportional to 109,377 and 143,623.50

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Solution

The third proportional to 109,377 and 143,623.50 is: 188,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,377 : 143,623.50 = 143,623.50 : x
  2. Step 2: Convert to fraction form
    109,377/143,623.50 = 143,623.50/x
  3. Step 3: Cross multiply
    109,377x = 143,623.50 × 143,623.50
  4. Step 4: Simplify right side
    109,377x = 20,627,709,752.25
  5. Step 5: Solve for x
    x = 20,627,709,752.25/109,377
  6. Step 6: Final answer
    x = 188,592.75

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.