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Finding the Third Proportional to 800,321.25 and 1,220,807.25

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Solution

The third proportional to 800,321.25 and 1,220,807.25 is: 1,862,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,321.25 : 1,220,807.25 = 1,220,807.25 : x
  2. Step 2: Convert to fraction form
    800,321.25/1,220,807.25 = 1,220,807.25/x
  3. Step 3: Cross multiply
    800,321.25x = 1,220,807.25 × 1,220,807.25
  4. Step 4: Simplify right side
    800,321.25x = 1,490,370,341,652.56
  5. Step 5: Solve for x
    x = 1,490,370,341,652.56/800,321.25
  6. Step 6: Final answer
    x = 1,862,215.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.