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Finding the Third Proportional to 161,268 and 254,270

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Solution

The third proportional to 161,268 and 254,270 is: 400,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,268 : 254,270 = 254,270 : x
  2. Step 2: Convert to fraction form
    161,268/254,270 = 254,270/x
  3. Step 3: Cross multiply
    161,268x = 254,270 × 254,270
  4. Step 4: Simplify right side
    161,268x = 64,653,232,900
  5. Step 5: Solve for x
    x = 64,653,232,900/161,268
  6. Step 6: Final answer
    x = 400,905.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.