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Finding the Third Proportional to 351,188 and 769,288

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Solution

The third proportional to 351,188 and 769,288 is: 1,685,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,188 : 769,288 = 769,288 : x
  2. Step 2: Convert to fraction form
    351,188/769,288 = 769,288/x
  3. Step 3: Cross multiply
    351,188x = 769,288 × 769,288
  4. Step 4: Simplify right side
    351,188x = 591,804,026,944
  5. Step 5: Solve for x
    x = 591,804,026,944/351,188
  6. Step 6: Final answer
    x = 1,685,148.77

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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.