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Finding the Third Proportional to 203,854.50 and 460,558.13

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Solution

The third proportional to 203,854.50 and 460,558.13 is: 1,040,515.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,854.50 : 460,558.13 = 460,558.13 : x
  2. Step 2: Convert to fraction form
    203,854.50/460,558.13 = 460,558.13/x
  3. Step 3: Cross multiply
    203,854.50x = 460,558.13 × 460,558.13
  4. Step 4: Simplify right side
    203,854.50x = 212,113,786,503.52
  5. Step 5: Solve for x
    x = 212,113,786,503.52/203,854.50
  6. Step 6: Final answer
    x = 1,040,515.60

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.