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Finding the Third Proportional to 180,704 and 268,440

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Solution

The third proportional to 180,704 and 268,440 is: 398,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,704 : 268,440 = 268,440 : x
  2. Step 2: Convert to fraction form
    180,704/268,440 = 268,440/x
  3. Step 3: Cross multiply
    180,704x = 268,440 × 268,440
  4. Step 4: Simplify right side
    180,704x = 72,060,033,600
  5. Step 5: Solve for x
    x = 72,060,033,600/180,704
  6. Step 6: Final answer
    x = 398,773.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.