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Finding the Third Proportional to 343,576 and 513,772

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Solution

The third proportional to 343,576 and 513,772 is: 768,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,576 : 513,772 = 513,772 : x
  2. Step 2: Convert to fraction form
    343,576/513,772 = 513,772/x
  3. Step 3: Cross multiply
    343,576x = 513,772 × 513,772
  4. Step 4: Simplify right side
    343,576x = 263,961,667,984
  5. Step 5: Solve for x
    x = 263,961,667,984/343,576
  6. Step 6: Final answer
    x = 768,277.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.