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Finding the Third Proportional to 280,525.50 and 404,178.75

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Solution

The third proportional to 280,525.50 and 404,178.75 is: 582,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,525.50 : 404,178.75 = 404,178.75 : x
  2. Step 2: Convert to fraction form
    280,525.50/404,178.75 = 404,178.75/x
  3. Step 3: Cross multiply
    280,525.50x = 404,178.75 × 404,178.75
  4. Step 4: Simplify right side
    280,525.50x = 163,360,461,951.56
  5. Step 5: Solve for x
    x = 163,360,461,951.56/280,525.50
  6. Step 6: Final answer
    x = 582,337.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.