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Finding the Third Proportional to 339,905 and 727,906

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Solution

The third proportional to 339,905 and 727,906 is: 1,558,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,905 : 727,906 = 727,906 : x
  2. Step 2: Convert to fraction form
    339,905/727,906 = 727,906/x
  3. Step 3: Cross multiply
    339,905x = 727,906 × 727,906
  4. Step 4: Simplify right side
    339,905x = 529,847,144,836
  5. Step 5: Solve for x
    x = 529,847,144,836/339,905
  6. Step 6: Final answer
    x = 1,558,809.51

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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.