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Finding the Third Proportional to 436 and 881.50

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Solution

The third proportional to 436 and 881.50 is: 1,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    436 : 881.50 = 881.50 : x
  2. Step 2: Convert to fraction form
    436/881.50 = 881.50/x
  3. Step 3: Cross multiply
    436x = 881.50 × 881.50
  4. Step 4: Simplify right side
    436x = 777,042.25
  5. Step 5: Solve for x
    x = 777,042.25/436
  6. Step 6: Final answer
    x = 1,782.21

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.