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Finding the Third Proportional to 70,400 and 156,352

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Solution

The third proportional to 70,400 and 156,352 is: 347,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,400 : 156,352 = 156,352 : x
  2. Step 2: Convert to fraction form
    70,400/156,352 = 156,352/x
  3. Step 3: Cross multiply
    70,400x = 156,352 × 156,352
  4. Step 4: Simplify right side
    70,400x = 24,445,947,904
  5. Step 5: Solve for x
    x = 24,445,947,904/70,400
  6. Step 6: Final answer
    x = 347,243.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.