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Finding the Third Proportional to 30,512 and 65,882

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Solution

The third proportional to 30,512 and 65,882 is: 142,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512 : 65,882 = 65,882 : x
  2. Step 2: Convert to fraction form
    30,512/65,882 = 65,882/x
  3. Step 3: Cross multiply
    30,512x = 65,882 × 65,882
  4. Step 4: Simplify right side
    30,512x = 4,340,437,924
  5. Step 5: Solve for x
    x = 4,340,437,924/30,512
  6. Step 6: Final answer
    x = 142,253.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.