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Finding the Third Proportional to 288,218.25 and 458,082.84

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Solution

The third proportional to 288,218.25 and 458,082.84 is: 728,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,218.25 : 458,082.84 = 458,082.84 : x
  2. Step 2: Convert to fraction form
    288,218.25/458,082.84 = 458,082.84/x
  3. Step 3: Cross multiply
    288,218.25x = 458,082.84 × 458,082.84
  4. Step 4: Simplify right side
    288,218.25x = 209,839,891,738.09
  5. Step 5: Solve for x
    x = 209,839,891,738.09/288,218.25
  6. Step 6: Final answer
    x = 728,059.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.