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Finding the Third Proportional to 269,111 and 416,690

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Solution

The third proportional to 269,111 and 416,690 is: 645,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,111 : 416,690 = 416,690 : x
  2. Step 2: Convert to fraction form
    269,111/416,690 = 416,690/x
  3. Step 3: Cross multiply
    269,111x = 416,690 × 416,690
  4. Step 4: Simplify right side
    269,111x = 173,630,556,100
  5. Step 5: Solve for x
    x = 173,630,556,100/269,111
  6. Step 6: Final answer
    x = 645,200.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.