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Finding the Third Proportional to 400,660 and 864,521

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Solution

The third proportional to 400,660 and 864,521 is: 1,865,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,660 : 864,521 = 864,521 : x
  2. Step 2: Convert to fraction form
    400,660/864,521 = 864,521/x
  3. Step 3: Cross multiply
    400,660x = 864,521 × 864,521
  4. Step 4: Simplify right side
    400,660x = 747,396,559,441
  5. Step 5: Solve for x
    x = 747,396,559,441/400,660
  6. Step 6: Final answer
    x = 1,865,413.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.