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Finding the Third Proportional to 119,608 and 257,648

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Solution

The third proportional to 119,608 and 257,648 is: 555,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,608 : 257,648 = 257,648 : x
  2. Step 2: Convert to fraction form
    119,608/257,648 = 257,648/x
  3. Step 3: Cross multiply
    119,608x = 257,648 × 257,648
  4. Step 4: Simplify right side
    119,608x = 66,382,491,904
  5. Step 5: Solve for x
    x = 66,382,491,904/119,608
  6. Step 6: Final answer
    x = 555,000.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.