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Finding the Third Proportional to 172,717 and 254,138

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Solution

The third proportional to 172,717 and 254,138 is: 373,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,717 : 254,138 = 254,138 : x
  2. Step 2: Convert to fraction form
    172,717/254,138 = 254,138/x
  3. Step 3: Cross multiply
    172,717x = 254,138 × 254,138
  4. Step 4: Simplify right side
    172,717x = 64,586,123,044
  5. Step 5: Solve for x
    x = 64,586,123,044/172,717
  6. Step 6: Final answer
    x = 373,941.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.