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Finding the Third Proportional to 76,290 and 110,971

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Solution

The third proportional to 76,290 and 110,971 is: 161,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,290 : 110,971 = 110,971 : x
  2. Step 2: Convert to fraction form
    76,290/110,971 = 110,971/x
  3. Step 3: Cross multiply
    76,290x = 110,971 × 110,971
  4. Step 4: Simplify right side
    76,290x = 12,314,562,841
  5. Step 5: Solve for x
    x = 12,314,562,841/76,290
  6. Step 6: Final answer
    x = 161,417.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.