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Finding the Third Proportional to 351,391 and 770,497

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Solution

The third proportional to 351,391 and 770,497 is: 1,689,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,391 : 770,497 = 770,497 : x
  2. Step 2: Convert to fraction form
    351,391/770,497 = 770,497/x
  3. Step 3: Cross multiply
    351,391x = 770,497 × 770,497
  4. Step 4: Simplify right side
    351,391x = 593,665,627,009
  5. Step 5: Solve for x
    x = 593,665,627,009/351,391
  6. Step 6: Final answer
    x = 1,689,473.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.