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Finding the Third Proportional to 392,214 and 828,492

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Solution

The third proportional to 392,214 and 828,492 is: 1,750,062.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,214 : 828,492 = 828,492 : x
  2. Step 2: Convert to fraction form
    392,214/828,492 = 828,492/x
  3. Step 3: Cross multiply
    392,214x = 828,492 × 828,492
  4. Step 4: Simplify right side
    392,214x = 686,398,994,064
  5. Step 5: Solve for x
    x = 686,398,994,064/392,214
  6. Step 6: Final answer
    x = 1,750,062.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.