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Finding the Third Proportional to 51,018 and 74,971

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Solution

The third proportional to 51,018 and 74,971 is: 110,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018 : 74,971 = 74,971 : x
  2. Step 2: Convert to fraction form
    51,018/74,971 = 74,971/x
  3. Step 3: Cross multiply
    51,018x = 74,971 × 74,971
  4. Step 4: Simplify right side
    51,018x = 5,620,650,841
  5. Step 5: Solve for x
    x = 5,620,650,841/51,018
  6. Step 6: Final answer
    x = 110,169.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.