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Finding the Third Proportional to 117,761 and 257,915

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Solution

The third proportional to 117,761 and 257,915 is: 564,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,761 : 257,915 = 257,915 : x
  2. Step 2: Convert to fraction form
    117,761/257,915 = 257,915/x
  3. Step 3: Cross multiply
    117,761x = 257,915 × 257,915
  4. Step 4: Simplify right side
    117,761x = 66,520,147,225
  5. Step 5: Solve for x
    x = 66,520,147,225/117,761
  6. Step 6: Final answer
    x = 564,874.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.