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Finding the Third Proportional to 66,478 and 156,420

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Solution

The third proportional to 66,478 and 156,420 is: 368,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,478 : 156,420 = 156,420 : x
  2. Step 2: Convert to fraction form
    66,478/156,420 = 156,420/x
  3. Step 3: Cross multiply
    66,478x = 156,420 × 156,420
  4. Step 4: Simplify right side
    66,478x = 24,467,216,400
  5. Step 5: Solve for x
    x = 24,467,216,400/66,478
  6. Step 6: Final answer
    x = 368,049.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.