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Finding the Third Proportional to 413.95 and 890.91

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Solution

The third proportional to 413.95 and 890.91 is: 1,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.95 : 890.91 = 890.91 : x
  2. Step 2: Convert to fraction form
    413.95/890.91 = 890.91/x
  3. Step 3: Cross multiply
    413.95x = 890.91 × 890.91
  4. Step 4: Simplify right side
    413.95x = 793,713.95
  5. Step 5: Solve for x
    x = 793,713.95/413.95
  6. Step 6: Final answer
    x = 1,917.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.