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Finding the Third Proportional to 180,990 and 386,017

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Solution

The third proportional to 180,990 and 386,017 is: 823,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,990 : 386,017 = 386,017 : x
  2. Step 2: Convert to fraction form
    180,990/386,017 = 386,017/x
  3. Step 3: Cross multiply
    180,990x = 386,017 × 386,017
  4. Step 4: Simplify right side
    180,990x = 149,009,124,289
  5. Step 5: Solve for x
    x = 149,009,124,289/180,990
  6. Step 6: Final answer
    x = 823,300.32

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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.