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Finding the Third Proportional to 643,148 and 1,379,608

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Solution

The third proportional to 643,148 and 1,379,608 is: 2,959,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,148 : 1,379,608 = 1,379,608 : x
  2. Step 2: Convert to fraction form
    643,148/1,379,608 = 1,379,608/x
  3. Step 3: Cross multiply
    643,148x = 1,379,608 × 1,379,608
  4. Step 4: Simplify right side
    643,148x = 1,903,318,233,664
  5. Step 5: Solve for x
    x = 1,903,318,233,664/643,148
  6. Step 6: Final answer
    x = 2,959,378.30

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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.