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Finding the Third Proportional to 389,808.75 and 583,120.31

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Solution

The third proportional to 389,808.75 and 583,120.31 is: 872,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,808.75 : 583,120.31 = 583,120.31 : x
  2. Step 2: Convert to fraction form
    389,808.75/583,120.31 = 583,120.31/x
  3. Step 3: Cross multiply
    389,808.75x = 583,120.31 × 583,120.31
  4. Step 4: Simplify right side
    389,808.75x = 340,029,298,850.10
  5. Step 5: Solve for x
    x = 340,029,298,850.10/389,808.75
  6. Step 6: Final answer
    x = 872,297.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.