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Finding the Third Proportional to 106,810.50 and 143,781

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Solution

The third proportional to 106,810.50 and 143,781 is: 193,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,810.50 : 143,781 = 143,781 : x
  2. Step 2: Convert to fraction form
    106,810.50/143,781 = 143,781/x
  3. Step 3: Cross multiply
    106,810.50x = 143,781 × 143,781
  4. Step 4: Simplify right side
    106,810.50x = 20,672,975,961
  5. Step 5: Solve for x
    x = 20,672,975,961/106,810.50
  6. Step 6: Final answer
    x = 193,548.16

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.