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Finding the Third Proportional to 811,847.25 and 1,285,447.50

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Solution

The third proportional to 811,847.25 and 1,285,447.50 is: 2,035,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,847.25 : 1,285,447.50 = 1,285,447.50 : x
  2. Step 2: Convert to fraction form
    811,847.25/1,285,447.50 = 1,285,447.50/x
  3. Step 3: Cross multiply
    811,847.25x = 1,285,447.50 × 1,285,447.50
  4. Step 4: Simplify right side
    811,847.25x = 1,652,375,275,256.25
  5. Step 5: Solve for x
    x = 1,652,375,275,256.25/811,847.25
  6. Step 6: Final answer
    x = 2,035,327.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.