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Finding the Third Proportional to 269,196 and 422,328

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Solution

The third proportional to 269,196 and 422,328 is: 662,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,196 : 422,328 = 422,328 : x
  2. Step 2: Convert to fraction form
    269,196/422,328 = 422,328/x
  3. Step 3: Cross multiply
    269,196x = 422,328 × 422,328
  4. Step 4: Simplify right side
    269,196x = 178,360,939,584
  5. Step 5: Solve for x
    x = 178,360,939,584/269,196
  6. Step 6: Final answer
    x = 662,569.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.