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Finding the Third Proportional to 85,185.19 and 133,638.19

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Solution

The third proportional to 85,185.19 and 133,638.19 is: 209,651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,185.19 : 133,638.19 = 133,638.19 : x
  2. Step 2: Convert to fraction form
    85,185.19/133,638.19 = 133,638.19/x
  3. Step 3: Cross multiply
    85,185.19x = 133,638.19 × 133,638.19
  4. Step 4: Simplify right side
    85,185.19x = 17,859,165,158.29
  5. Step 5: Solve for x
    x = 17,859,165,158.29/85,185.19
  6. Step 6: Final answer
    x = 209,651.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.