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Finding the Third Proportional to 213,174 and 307,974

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Solution

The third proportional to 213,174 and 307,974 is: 444,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,174 : 307,974 = 307,974 : x
  2. Step 2: Convert to fraction form
    213,174/307,974 = 307,974/x
  3. Step 3: Cross multiply
    213,174x = 307,974 × 307,974
  4. Step 4: Simplify right side
    213,174x = 94,847,984,676
  5. Step 5: Solve for x
    x = 94,847,984,676/213,174
  6. Step 6: Final answer
    x = 444,932.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.