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Finding the Third Proportional to 280,478.50 and 603,725

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Solution

The third proportional to 280,478.50 and 603,725 is: 1,299,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,478.50 : 603,725 = 603,725 : x
  2. Step 2: Convert to fraction form
    280,478.50/603,725 = 603,725/x
  3. Step 3: Cross multiply
    280,478.50x = 603,725 × 603,725
  4. Step 4: Simplify right side
    280,478.50x = 364,483,875,625
  5. Step 5: Solve for x
    x = 364,483,875,625/280,478.50
  6. Step 6: Final answer
    x = 1,299,507.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.