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Finding the Third Proportional to 70,454 and 156,099

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Solution

The third proportional to 70,454 and 156,099 is: 345,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,454 : 156,099 = 156,099 : x
  2. Step 2: Convert to fraction form
    70,454/156,099 = 156,099/x
  3. Step 3: Cross multiply
    70,454x = 156,099 × 156,099
  4. Step 4: Simplify right side
    70,454x = 24,366,897,801
  5. Step 5: Solve for x
    x = 24,366,897,801/70,454
  6. Step 6: Final answer
    x = 345,855.42

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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.