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Finding the Third Proportional to 170,398 and 257,984

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Solution

The third proportional to 170,398 and 257,984 is: 390,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,398 : 257,984 = 257,984 : x
  2. Step 2: Convert to fraction form
    170,398/257,984 = 257,984/x
  3. Step 3: Cross multiply
    170,398x = 257,984 × 257,984
  4. Step 4: Simplify right side
    170,398x = 66,555,744,256
  5. Step 5: Solve for x
    x = 66,555,744,256/170,398
  6. Step 6: Final answer
    x = 390,589.94

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