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Finding the Third Proportional to 30,420 and 65,367

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Solution

The third proportional to 30,420 and 65,367 is: 140,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420 : 65,367 = 65,367 : x
  2. Step 2: Convert to fraction form
    30,420/65,367 = 65,367/x
  3. Step 3: Cross multiply
    30,420x = 65,367 × 65,367
  4. Step 4: Simplify right side
    30,420x = 4,272,844,689
  5. Step 5: Solve for x
    x = 4,272,844,689/30,420
  6. Step 6: Final answer
    x = 140,461.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.