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Finding the Third Proportional to 75,330 and 156,900

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Solution

The third proportional to 75,330 and 156,900 is: 326,796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,330 : 156,900 = 156,900 : x
  2. Step 2: Convert to fraction form
    75,330/156,900 = 156,900/x
  3. Step 3: Cross multiply
    75,330x = 156,900 × 156,900
  4. Step 4: Simplify right side
    75,330x = 24,617,610,000
  5. Step 5: Solve for x
    x = 24,617,610,000/75,330
  6. Step 6: Final answer
    x = 326,796.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.