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Finding the Third Proportional to 392,203 and 828,470

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Solution

The third proportional to 392,203 and 828,470 is: 1,750,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,203 : 828,470 = 828,470 : x
  2. Step 2: Convert to fraction form
    392,203/828,470 = 828,470/x
  3. Step 3: Cross multiply
    392,203x = 828,470 × 828,470
  4. Step 4: Simplify right side
    392,203x = 686,362,540,900
  5. Step 5: Solve for x
    x = 686,362,540,900/392,203
  6. Step 6: Final answer
    x = 1,750,018.59

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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.