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Finding the Third Proportional to 351,114 and 778,152

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Solution

The third proportional to 351,114 and 778,152 is: 1,724,569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,114 : 778,152 = 778,152 : x
  2. Step 2: Convert to fraction form
    351,114/778,152 = 778,152/x
  3. Step 3: Cross multiply
    351,114x = 778,152 × 778,152
  4. Step 4: Simplify right side
    351,114x = 605,520,535,104
  5. Step 5: Solve for x
    x = 605,520,535,104/351,114
  6. Step 6: Final answer
    x = 1,724,569.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.