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Finding the Third Proportional to 339,088 and 513,006

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Solution

The third proportional to 339,088 and 513,006 is: 776,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,088 : 513,006 = 513,006 : x
  2. Step 2: Convert to fraction form
    339,088/513,006 = 513,006/x
  3. Step 3: Cross multiply
    339,088x = 513,006 × 513,006
  4. Step 4: Simplify right side
    339,088x = 263,175,156,036
  5. Step 5: Solve for x
    x = 263,175,156,036/339,088
  6. Step 6: Final answer
    x = 776,126.42

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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.