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Finding the Third Proportional to 171,040 and 268,308

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Solution

The third proportional to 171,040 and 268,308 is: 420,890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,040 : 268,308 = 268,308 : x
  2. Step 2: Convert to fraction form
    171,040/268,308 = 268,308/x
  3. Step 3: Cross multiply
    171,040x = 268,308 × 268,308
  4. Step 4: Simplify right side
    171,040x = 71,989,182,864
  5. Step 5: Solve for x
    x = 71,989,182,864/171,040
  6. Step 6: Final answer
    x = 420,890.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.