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Finding the Third Proportional to 397,012 and 614,900

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Solution

The third proportional to 397,012 and 614,900 is: 952,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,012 : 614,900 = 614,900 : x
  2. Step 2: Convert to fraction form
    397,012/614,900 = 614,900/x
  3. Step 3: Cross multiply
    397,012x = 614,900 × 614,900
  4. Step 4: Simplify right side
    397,012x = 378,102,010,000
  5. Step 5: Solve for x
    x = 378,102,010,000/397,012
  6. Step 6: Final answer
    x = 952,369.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.