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Finding the Third Proportional to 31,692 and 66,436.13

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Solution

The third proportional to 31,692 and 66,436.13 is: 139,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692 : 66,436.13 = 66,436.13 : x
  2. Step 2: Convert to fraction form
    31,692/66,436.13 = 66,436.13/x
  3. Step 3: Cross multiply
    31,692x = 66,436.13 × 66,436.13
  4. Step 4: Simplify right side
    31,692x = 4,413,758,705.02
  5. Step 5: Solve for x
    x = 4,413,758,705.02/31,692
  6. Step 6: Final answer
    x = 139,270.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.