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Finding the Third Proportional to 180,818 and 393,348

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Solution

The third proportional to 180,818 and 393,348 is: 855,681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,818 : 393,348 = 393,348 : x
  2. Step 2: Convert to fraction form
    180,818/393,348 = 393,348/x
  3. Step 3: Cross multiply
    180,818x = 393,348 × 393,348
  4. Step 4: Simplify right side
    180,818x = 154,722,649,104
  5. Step 5: Solve for x
    x = 154,722,649,104/180,818
  6. Step 6: Final answer
    x = 855,681.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.