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Finding the Third Proportional to 161,278 and 256,217

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Solution

The third proportional to 161,278 and 256,217 is: 407,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,278 : 256,217 = 256,217 : x
  2. Step 2: Convert to fraction form
    161,278/256,217 = 256,217/x
  3. Step 3: Cross multiply
    161,278x = 256,217 × 256,217
  4. Step 4: Simplify right side
    161,278x = 65,647,151,089
  5. Step 5: Solve for x
    x = 65,647,151,089/161,278
  6. Step 6: Final answer
    x = 407,043.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.