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Finding the Third Proportional to 76,434 and 156,270

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Solution

The third proportional to 76,434 and 156,270 is: 319,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,434 : 156,270 = 156,270 : x
  2. Step 2: Convert to fraction form
    76,434/156,270 = 156,270/x
  3. Step 3: Cross multiply
    76,434x = 156,270 × 156,270
  4. Step 4: Simplify right side
    76,434x = 24,420,312,900
  5. Step 5: Solve for x
    x = 24,420,312,900/76,434
  6. Step 6: Final answer
    x = 319,495.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.