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Finding the Third Proportional to 421.95 and 877.71

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Solution

The third proportional to 421.95 and 877.71 is: 1,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.95 : 877.71 = 877.71 : x
  2. Step 2: Convert to fraction form
    421.95/877.71 = 877.71/x
  3. Step 3: Cross multiply
    421.95x = 877.71 × 877.71
  4. Step 4: Simplify right side
    421.95x = 770,376.49
  5. Step 5: Solve for x
    x = 770,376.49/421.95
  6. Step 6: Final answer
    x = 1,825.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.