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Finding the Third Proportional to 306,990 and 440,721

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Solution

The third proportional to 306,990 and 440,721 is: 632,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,990 : 440,721 = 440,721 : x
  2. Step 2: Convert to fraction form
    306,990/440,721 = 440,721/x
  3. Step 3: Cross multiply
    306,990x = 440,721 × 440,721
  4. Step 4: Simplify right side
    306,990x = 194,234,999,841
  5. Step 5: Solve for x
    x = 194,234,999,841/306,990
  6. Step 6: Final answer
    x = 632,707.91

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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.