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Finding the Third Proportional to 177,040 and 270,721

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Solution

The third proportional to 177,040 and 270,721 is: 413,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,040 : 270,721 = 270,721 : x
  2. Step 2: Convert to fraction form
    177,040/270,721 = 270,721/x
  3. Step 3: Cross multiply
    177,040x = 270,721 × 270,721
  4. Step 4: Simplify right side
    177,040x = 73,289,859,841
  5. Step 5: Solve for x
    x = 73,289,859,841/177,040
  6. Step 6: Final answer
    x = 413,973.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.