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Finding the Third Proportional to 379,492 and 815,264

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Solution

The third proportional to 379,492 and 815,264 is: 1,751,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,492 : 815,264 = 815,264 : x
  2. Step 2: Convert to fraction form
    379,492/815,264 = 815,264/x
  3. Step 3: Cross multiply
    379,492x = 815,264 × 815,264
  4. Step 4: Simplify right side
    379,492x = 664,655,389,696
  5. Step 5: Solve for x
    x = 664,655,389,696/379,492
  6. Step 6: Final answer
    x = 1,751,434.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.