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Finding the Third Proportional to 227,998 and 340,721

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Solution

The third proportional to 227,998 and 340,721 is: 509,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,998 : 340,721 = 340,721 : x
  2. Step 2: Convert to fraction form
    227,998/340,721 = 340,721/x
  3. Step 3: Cross multiply
    227,998x = 340,721 × 340,721
  4. Step 4: Simplify right side
    227,998x = 116,090,799,841
  5. Step 5: Solve for x
    x = 116,090,799,841/227,998
  6. Step 6: Final answer
    x = 509,174.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.