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Finding the Third Proportional to 106,083 and 141,625.13

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Solution

The third proportional to 106,083 and 141,625.13 is: 189,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,083 : 141,625.13 = 141,625.13 : x
  2. Step 2: Convert to fraction form
    106,083/141,625.13 = 141,625.13/x
  3. Step 3: Cross multiply
    106,083x = 141,625.13 × 141,625.13
  4. Step 4: Simplify right side
    106,083x = 20,057,676,031.27
  5. Step 5: Solve for x
    x = 20,057,676,031.27/106,083
  6. Step 6: Final answer
    x = 189,075.31

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.