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Finding the Third Proportional to 75,716 and 156,288

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Solution

The third proportional to 75,716 and 156,288 is: 322,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,716 : 156,288 = 156,288 : x
  2. Step 2: Convert to fraction form
    75,716/156,288 = 156,288/x
  3. Step 3: Cross multiply
    75,716x = 156,288 × 156,288
  4. Step 4: Simplify right side
    75,716x = 24,425,938,944
  5. Step 5: Solve for x
    x = 24,425,938,944/75,716
  6. Step 6: Final answer
    x = 322,599.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.