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Finding the Third Proportional to 185,278 and 403,690

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Solution

The third proportional to 185,278 and 403,690 is: 879,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,278 : 403,690 = 403,690 : x
  2. Step 2: Convert to fraction form
    185,278/403,690 = 403,690/x
  3. Step 3: Cross multiply
    185,278x = 403,690 × 403,690
  4. Step 4: Simplify right side
    185,278x = 162,965,616,100
  5. Step 5: Solve for x
    x = 162,965,616,100/185,278
  6. Step 6: Final answer
    x = 879,573.48

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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.