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Finding the Third Proportional to 413.63 and 603.28

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Solution

The third proportional to 413.63 and 603.28 is: 879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.63 : 603.28 = 603.28 : x
  2. Step 2: Convert to fraction form
    413.63/603.28 = 603.28/x
  3. Step 3: Cross multiply
    413.63x = 603.28 × 603.28
  4. Step 4: Simplify right side
    413.63x = 363,948.27
  5. Step 5: Solve for x
    x = 363,948.27/413.63
  6. Step 6: Final answer
    x = 879.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.