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Finding the Third Proportional to 270,439.50 and 578,400

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Solution

The third proportional to 270,439.50 and 578,400 is: 1,237,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,439.50 : 578,400 = 578,400 : x
  2. Step 2: Convert to fraction form
    270,439.50/578,400 = 578,400/x
  3. Step 3: Cross multiply
    270,439.50x = 578,400 × 578,400
  4. Step 4: Simplify right side
    270,439.50x = 334,546,560,000
  5. Step 5: Solve for x
    x = 334,546,560,000/270,439.50
  6. Step 6: Final answer
    x = 1,237,047.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.