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Finding the Third Proportional to 77,500 and 115,946

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Solution

The third proportional to 77,500 and 115,946 is: 173,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,500 : 115,946 = 115,946 : x
  2. Step 2: Convert to fraction form
    77,500/115,946 = 115,946/x
  3. Step 3: Cross multiply
    77,500x = 115,946 × 115,946
  4. Step 4: Simplify right side
    77,500x = 13,443,474,916
  5. Step 5: Solve for x
    x = 13,443,474,916/77,500
  6. Step 6: Final answer
    x = 173,464.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.