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Finding the Third Proportional to 75,419 and 156,057

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Solution

The third proportional to 75,419 and 156,057 is: 322,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,419 : 156,057 = 156,057 : x
  2. Step 2: Convert to fraction form
    75,419/156,057 = 156,057/x
  3. Step 3: Cross multiply
    75,419x = 156,057 × 156,057
  4. Step 4: Simplify right side
    75,419x = 24,353,787,249
  5. Step 5: Solve for x
    x = 24,353,787,249/75,419
  6. Step 6: Final answer
    x = 322,913.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.