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Finding the Third Proportional to 643,872 and 1,370,912

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Solution

The third proportional to 643,872 and 1,370,912 is: 2,918,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,872 : 1,370,912 = 1,370,912 : x
  2. Step 2: Convert to fraction form
    643,872/1,370,912 = 1,370,912/x
  3. Step 3: Cross multiply
    643,872x = 1,370,912 × 1,370,912
  4. Step 4: Simplify right side
    643,872x = 1,879,399,711,744
  5. Step 5: Solve for x
    x = 1,879,399,711,744/643,872
  6. Step 6: Final answer
    x = 2,918,902.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.