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Finding the Third Proportional to 170,268 and 257,772

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Solution

The third proportional to 170,268 and 257,772 is: 390,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,268 : 257,772 = 257,772 : x
  2. Step 2: Convert to fraction form
    170,268/257,772 = 257,772/x
  3. Step 3: Cross multiply
    170,268x = 257,772 × 257,772
  4. Step 4: Simplify right side
    170,268x = 66,446,403,984
  5. Step 5: Solve for x
    x = 66,446,403,984/170,268
  6. Step 6: Final answer
    x = 390,245.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.