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Finding the Third Proportional to 643,456 and 1,398,975

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Solution

The third proportional to 643,456 and 1,398,975 is: 3,041,592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,456 : 1,398,975 = 1,398,975 : x
  2. Step 2: Convert to fraction form
    643,456/1,398,975 = 1,398,975/x
  3. Step 3: Cross multiply
    643,456x = 1,398,975 × 1,398,975
  4. Step 4: Simplify right side
    643,456x = 1,957,131,050,625
  5. Step 5: Solve for x
    x = 1,957,131,050,625/643,456
  6. Step 6: Final answer
    x = 3,041,592.67

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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.