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Finding the Third Proportional to 381,370.50 and 828,348

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Solution

The third proportional to 381,370.50 and 828,348 is: 1,799,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,370.50 : 828,348 = 828,348 : x
  2. Step 2: Convert to fraction form
    381,370.50/828,348 = 828,348/x
  3. Step 3: Cross multiply
    381,370.50x = 828,348 × 828,348
  4. Step 4: Simplify right side
    381,370.50x = 686,160,409,104
  5. Step 5: Solve for x
    x = 686,160,409,104/381,370.50
  6. Step 6: Final answer
    x = 1,799,196.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.