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Finding the Third Proportional to 620,016 and 877,629

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Solution

The third proportional to 620,016 and 877,629 is: 1,242,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,016 : 877,629 = 877,629 : x
  2. Step 2: Convert to fraction form
    620,016/877,629 = 877,629/x
  3. Step 3: Cross multiply
    620,016x = 877,629 × 877,629
  4. Step 4: Simplify right side
    620,016x = 770,232,661,641
  5. Step 5: Solve for x
    x = 770,232,661,641/620,016
  6. Step 6: Final answer
    x = 1,242,278.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.