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Finding the Third Proportional to 339,084 and 513,000

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Solution

The third proportional to 339,084 and 513,000 is: 776,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,084 : 513,000 = 513,000 : x
  2. Step 2: Convert to fraction form
    339,084/513,000 = 513,000/x
  3. Step 3: Cross multiply
    339,084x = 513,000 × 513,000
  4. Step 4: Simplify right side
    339,084x = 263,169,000,000
  5. Step 5: Solve for x
    x = 263,169,000,000/339,084
  6. Step 6: Final answer
    x = 776,117.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.