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Finding the Third Proportional to 515,410.50 and 828,520.50

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Solution

The third proportional to 515,410.50 and 828,520.50 is: 1,331,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,410.50 : 828,520.50 = 828,520.50 : x
  2. Step 2: Convert to fraction form
    515,410.50/828,520.50 = 828,520.50/x
  3. Step 3: Cross multiply
    515,410.50x = 828,520.50 × 828,520.50
  4. Step 4: Simplify right side
    515,410.50x = 686,446,218,920.25
  5. Step 5: Solve for x
    x = 686,446,218,920.25/515,410.50
  6. Step 6: Final answer
    x = 1,331,843.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.