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Finding the Third Proportional to 381,472 and 828,490

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Solution

The third proportional to 381,472 and 828,490 is: 1,799,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,472 : 828,490 = 828,490 : x
  2. Step 2: Convert to fraction form
    381,472/828,490 = 828,490/x
  3. Step 3: Cross multiply
    381,472x = 828,490 × 828,490
  4. Step 4: Simplify right side
    381,472x = 686,395,680,100
  5. Step 5: Solve for x
    x = 686,395,680,100/381,472
  6. Step 6: Final answer
    x = 1,799,334.37

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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.