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Finding the Third Proportional to 305,238.38 and 663,025.50

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Solution

The third proportional to 305,238.38 and 663,025.50 is: 1,440,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,238.38 : 663,025.50 = 663,025.50 : x
  2. Step 2: Convert to fraction form
    305,238.38/663,025.50 = 663,025.50/x
  3. Step 3: Cross multiply
    305,238.38x = 663,025.50 × 663,025.50
  4. Step 4: Simplify right side
    305,238.38x = 439,602,813,650.25
  5. Step 5: Solve for x
    x = 439,602,813,650.25/305,238.38
  6. Step 6: Final answer
    x = 1,440,195.11

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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.