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Finding the Third Proportional to 185,855 and 407,278

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Solution

The third proportional to 185,855 and 407,278 is: 892,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,855 : 407,278 = 407,278 : x
  2. Step 2: Convert to fraction form
    185,855/407,278 = 407,278/x
  3. Step 3: Cross multiply
    185,855x = 407,278 × 407,278
  4. Step 4: Simplify right side
    185,855x = 165,875,369,284
  5. Step 5: Solve for x
    x = 165,875,369,284/185,855
  6. Step 6: Final answer
    x = 892,498.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.