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Finding the Third Proportional to 209,189.25 and 458,311.50

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Solution

The third proportional to 209,189.25 and 458,311.50 is: 1,004,111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,189.25 : 458,311.50 = 458,311.50 : x
  2. Step 2: Convert to fraction form
    209,189.25/458,311.50 = 458,311.50/x
  3. Step 3: Cross multiply
    209,189.25x = 458,311.50 × 458,311.50
  4. Step 4: Simplify right side
    209,189.25x = 210,049,431,032.25
  5. Step 5: Solve for x
    x = 210,049,431,032.25/209,189.25
  6. Step 6: Final answer
    x = 1,004,111.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.