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Finding the Third Proportional to 603.35 and 877.52

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Solution

The third proportional to 603.35 and 877.52 is: 1,276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.35 : 877.52 = 877.52 : x
  2. Step 2: Convert to fraction form
    603.35/877.52 = 877.52/x
  3. Step 3: Cross multiply
    603.35x = 877.52 × 877.52
  4. Step 4: Simplify right side
    603.35x = 770,046.74
  5. Step 5: Solve for x
    x = 770,046.74/603.35
  6. Step 6: Final answer
    x = 1,276.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.