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Finding the Third Proportional to 345,879 and 745,119

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Solution

The third proportional to 345,879 and 745,119 is: 1,605,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,879 : 745,119 = 745,119 : x
  2. Step 2: Convert to fraction form
    345,879/745,119 = 745,119/x
  3. Step 3: Cross multiply
    345,879x = 745,119 × 745,119
  4. Step 4: Simplify right side
    345,879x = 555,202,324,161
  5. Step 5: Solve for x
    x = 555,202,324,161/345,879
  6. Step 6: Final answer
    x = 1,605,192.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.