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Finding the Third Proportional to 550,120 and 828,822

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Solution

The third proportional to 550,120 and 828,822 is: 1,248,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,120 : 828,822 = 828,822 : x
  2. Step 2: Convert to fraction form
    550,120/828,822 = 828,822/x
  3. Step 3: Cross multiply
    550,120x = 828,822 × 828,822
  4. Step 4: Simplify right side
    550,120x = 686,945,907,684
  5. Step 5: Solve for x
    x = 686,945,907,684/550,120
  6. Step 6: Final answer
    x = 1,248,720.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.