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Finding the Third Proportional to 30,442 and 40,721

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Solution

The third proportional to 30,442 and 40,721 is: 54,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442 : 40,721 = 40,721 : x
  2. Step 2: Convert to fraction form
    30,442/40,721 = 40,721/x
  3. Step 3: Cross multiply
    30,442x = 40,721 × 40,721
  4. Step 4: Simplify right side
    30,442x = 1,658,199,841
  5. Step 5: Solve for x
    x = 1,658,199,841/30,442
  6. Step 6: Final answer
    x = 54,470.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.