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Finding the Third Proportional to 643,048 and 1,374,668

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Solution

The third proportional to 643,048 and 1,374,668 is: 2,938,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,048 : 1,374,668 = 1,374,668 : x
  2. Step 2: Convert to fraction form
    643,048/1,374,668 = 1,374,668/x
  3. Step 3: Cross multiply
    643,048x = 1,374,668 × 1,374,668
  4. Step 4: Simplify right side
    643,048x = 1,889,712,110,224
  5. Step 5: Solve for x
    x = 1,889,712,110,224/643,048
  6. Step 6: Final answer
    x = 2,938,679.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.