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Finding the Third Proportional to 5,398,852.50 and 8,278,686

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Solution

The third proportional to 5,398,852.50 and 8,278,686 is: 12,694,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398,852.50 : 8,278,686 = 8,278,686 : x
  2. Step 2: Convert to fraction form
    5,398,852.50/8,278,686 = 8,278,686/x
  3. Step 3: Cross multiply
    5,398,852.50x = 8,278,686 × 8,278,686
  4. Step 4: Simplify right side
    5,398,852.50x = 68,536,641,886,596
  5. Step 5: Solve for x
    x = 68,536,641,886,596/5,398,852.50
  6. Step 6: Final answer
    x = 12,694,668.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.