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Finding the Third Proportional to 182,208 and 400,290

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Solution

The third proportional to 182,208 and 400,290 is: 879,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,208 : 400,290 = 400,290 : x
  2. Step 2: Convert to fraction form
    182,208/400,290 = 400,290/x
  3. Step 3: Cross multiply
    182,208x = 400,290 × 400,290
  4. Step 4: Simplify right side
    182,208x = 160,232,084,100
  5. Step 5: Solve for x
    x = 160,232,084,100/182,208
  6. Step 6: Final answer
    x = 879,391.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.