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Finding the Third Proportional to 51,458 and 76,971

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Solution

The third proportional to 51,458 and 76,971 is: 115,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,458 : 76,971 = 76,971 : x
  2. Step 2: Convert to fraction form
    51,458/76,971 = 76,971/x
  3. Step 3: Cross multiply
    51,458x = 76,971 × 76,971
  4. Step 4: Simplify right side
    51,458x = 5,924,534,841
  5. Step 5: Solve for x
    x = 5,924,534,841/51,458
  6. Step 6: Final answer
    x = 115,133.41

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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.