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Finding the Third Proportional to 643,876 and 1,370,920

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Solution

The third proportional to 643,876 and 1,370,920 is: 2,918,918.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,876 : 1,370,920 = 1,370,920 : x
  2. Step 2: Convert to fraction form
    643,876/1,370,920 = 1,370,920/x
  3. Step 3: Cross multiply
    643,876x = 1,370,920 × 1,370,920
  4. Step 4: Simplify right side
    643,876x = 1,879,421,646,400
  5. Step 5: Solve for x
    x = 1,879,421,646,400/643,876
  6. Step 6: Final answer
    x = 2,918,918.62

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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.