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Finding the Third Proportional to 180,186 and 268,818

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Solution

The third proportional to 180,186 and 268,818 is: 401,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,186 : 268,818 = 268,818 : x
  2. Step 2: Convert to fraction form
    180,186/268,818 = 268,818/x
  3. Step 3: Cross multiply
    180,186x = 268,818 × 268,818
  4. Step 4: Simplify right side
    180,186x = 72,263,117,124
  5. Step 5: Solve for x
    x = 72,263,117,124/180,186
  6. Step 6: Final answer
    x = 401,047.35

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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.