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Finding the Third Proportional to 688,219 and 1,481,890

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Solution

The third proportional to 688,219 and 1,481,890 is: 3,190,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,219 : 1,481,890 = 1,481,890 : x
  2. Step 2: Convert to fraction form
    688,219/1,481,890 = 1,481,890/x
  3. Step 3: Cross multiply
    688,219x = 1,481,890 × 1,481,890
  4. Step 4: Simplify right side
    688,219x = 2,195,997,972,100
  5. Step 5: Solve for x
    x = 2,195,997,972,100/688,219
  6. Step 6: Final answer
    x = 3,190,841.83

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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.