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Finding the Third Proportional to 30,077 and 65,275

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Solution

The third proportional to 30,077 and 65,275 is: 141,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077 : 65,275 = 65,275 : x
  2. Step 2: Convert to fraction form
    30,077/65,275 = 65,275/x
  3. Step 3: Cross multiply
    30,077x = 65,275 × 65,275
  4. Step 4: Simplify right side
    30,077x = 4,260,825,625
  5. Step 5: Solve for x
    x = 4,260,825,625/30,077
  6. Step 6: Final answer
    x = 141,663.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.