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Finding the Third Proportional to 389,772 and 852,444

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Solution

The third proportional to 389,772 and 852,444 is: 1,864,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,772 : 852,444 = 852,444 : x
  2. Step 2: Convert to fraction form
    389,772/852,444 = 852,444/x
  3. Step 3: Cross multiply
    389,772x = 852,444 × 852,444
  4. Step 4: Simplify right side
    389,772x = 726,660,773,136
  5. Step 5: Solve for x
    x = 726,660,773,136/389,772
  6. Step 6: Final answer
    x = 1,864,322.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.