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Finding the Third Proportional to 85,885.31 and 123,702.19

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Solution

The third proportional to 85,885.31 and 123,702.19 is: 178,170.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,885.31 : 123,702.19 = 123,702.19 : x
  2. Step 2: Convert to fraction form
    85,885.31/123,702.19 = 123,702.19/x
  3. Step 3: Cross multiply
    85,885.31x = 123,702.19 × 123,702.19
  4. Step 4: Simplify right side
    85,885.31x = 15,302,231,192.29
  5. Step 5: Solve for x
    x = 15,302,231,192.29/85,885.31
  6. Step 6: Final answer
    x = 178,170.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.