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Finding the Third Proportional to 75,457 and 157,115

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Solution

The third proportional to 75,457 and 157,115 is: 327,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,457 : 157,115 = 157,115 : x
  2. Step 2: Convert to fraction form
    75,457/157,115 = 157,115/x
  3. Step 3: Cross multiply
    75,457x = 157,115 × 157,115
  4. Step 4: Simplify right side
    75,457x = 24,685,123,225
  5. Step 5: Solve for x
    x = 24,685,123,225/75,457
  6. Step 6: Final answer
    x = 327,141.59

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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.