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Finding the Third Proportional to 305,255.25 and 663,028.88

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Solution

The third proportional to 305,255.25 and 663,028.88 is: 1,440,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,255.25 : 663,028.88 = 663,028.88 : x
  2. Step 2: Convert to fraction form
    305,255.25/663,028.88 = 663,028.88/x
  3. Step 3: Cross multiply
    305,255.25x = 663,028.88 × 663,028.88
  4. Step 4: Simplify right side
    305,255.25x = 439,607,289,083.77
  5. Step 5: Solve for x
    x = 439,607,289,083.77/305,255.25
  6. Step 6: Final answer
    x = 1,440,130.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.