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Finding the Third Proportional to 266,960 and 399,648

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Solution

The third proportional to 266,960 and 399,648 is: 598,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,960 : 399,648 = 399,648 : x
  2. Step 2: Convert to fraction form
    266,960/399,648 = 399,648/x
  3. Step 3: Cross multiply
    266,960x = 399,648 × 399,648
  4. Step 4: Simplify right side
    266,960x = 159,718,523,904
  5. Step 5: Solve for x
    x = 159,718,523,904/266,960
  6. Step 6: Final answer
    x = 598,286.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.