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Finding the Third Proportional to 305,228.25 and 448,709.63

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Solution

The third proportional to 305,228.25 and 448,709.63 is: 659,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,228.25 : 448,709.63 = 448,709.63 : x
  2. Step 2: Convert to fraction form
    305,228.25/448,709.63 = 448,709.63/x
  3. Step 3: Cross multiply
    305,228.25x = 448,709.63 × 448,709.63
  4. Step 4: Simplify right side
    305,228.25x = 201,340,327,567.64
  5. Step 5: Solve for x
    x = 201,340,327,567.64/305,228.25
  6. Step 6: Final answer
    x = 659,638.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.