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Finding the Third Proportional to 180,720 and 268,464

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Solution

The third proportional to 180,720 and 268,464 is: 398,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,720 : 268,464 = 268,464 : x
  2. Step 2: Convert to fraction form
    180,720/268,464 = 268,464/x
  3. Step 3: Cross multiply
    180,720x = 268,464 × 268,464
  4. Step 4: Simplify right side
    180,720x = 72,072,919,296
  5. Step 5: Solve for x
    x = 72,072,919,296/180,720
  6. Step 6: Final answer
    x = 398,809.87

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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.