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Finding the Third Proportional to 339,072 and 512,973

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Solution

The third proportional to 339,072 and 512,973 is: 776,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,072 : 512,973 = 512,973 : x
  2. Step 2: Convert to fraction form
    339,072/512,973 = 512,973/x
  3. Step 3: Cross multiply
    339,072x = 512,973 × 512,973
  4. Step 4: Simplify right side
    339,072x = 263,141,298,729
  5. Step 5: Solve for x
    x = 263,141,298,729/339,072
  6. Step 6: Final answer
    x = 776,063.19

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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.