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Finding the Third Proportional to 161,824 and 253,320

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Solution

The third proportional to 161,824 and 253,320 is: 396,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,824 : 253,320 = 253,320 : x
  2. Step 2: Convert to fraction form
    161,824/253,320 = 253,320/x
  3. Step 3: Cross multiply
    161,824x = 253,320 × 253,320
  4. Step 4: Simplify right side
    161,824x = 64,171,022,400
  5. Step 5: Solve for x
    x = 64,171,022,400/161,824
  6. Step 6: Final answer
    x = 396,548.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.