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Finding the Third Proportional to 61,702.50 and 131,190.38

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Solution

The third proportional to 61,702.50 and 131,190.38 is: 278,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,702.50 : 131,190.38 = 131,190.38 : x
  2. Step 2: Convert to fraction form
    61,702.50/131,190.38 = 131,190.38/x
  3. Step 3: Cross multiply
    61,702.50x = 131,190.38 × 131,190.38
  4. Step 4: Simplify right side
    61,702.50x = 17,210,914,492.64
  5. Step 5: Solve for x
    x = 17,210,914,492.64/61,702.50
  6. Step 6: Final answer
    x = 278,933.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.