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Finding the Third Proportional to 161,824 and 251,256

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Solution

The third proportional to 161,824 and 251,256 is: 390,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,824 : 251,256 = 251,256 : x
  2. Step 2: Convert to fraction form
    161,824/251,256 = 251,256/x
  3. Step 3: Cross multiply
    161,824x = 251,256 × 251,256
  4. Step 4: Simplify right side
    161,824x = 63,129,577,536
  5. Step 5: Solve for x
    x = 63,129,577,536/161,824
  6. Step 6: Final answer
    x = 390,112.58

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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.