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Finding the Third Proportional to 389,391 and 844,878

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Solution

The third proportional to 389,391 and 844,878 is: 1,833,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,391 : 844,878 = 844,878 : x
  2. Step 2: Convert to fraction form
    389,391/844,878 = 844,878/x
  3. Step 3: Cross multiply
    389,391x = 844,878 × 844,878
  4. Step 4: Simplify right side
    389,391x = 713,818,834,884
  5. Step 5: Solve for x
    x = 713,818,834,884/389,391
  6. Step 6: Final answer
    x = 1,833,167.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.