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Finding the Third Proportional to 343,392.75 and 745,879.50

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Solution

The third proportional to 343,392.75 and 745,879.50 is: 1,620,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,392.75 : 745,879.50 = 745,879.50 : x
  2. Step 2: Convert to fraction form
    343,392.75/745,879.50 = 745,879.50/x
  3. Step 3: Cross multiply
    343,392.75x = 745,879.50 × 745,879.50
  4. Step 4: Simplify right side
    343,392.75x = 556,336,228,520.25
  5. Step 5: Solve for x
    x = 556,336,228,520.25/343,392.75
  6. Step 6: Final answer
    x = 1,620,116.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.