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Finding the Third Proportional to 907.88 and 1,902.66

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Solution

The third proportional to 907.88 and 1,902.66 is: 3,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.88 : 1,902.66 = 1,902.66 : x
  2. Step 2: Convert to fraction form
    907.88/1,902.66 = 1,902.66/x
  3. Step 3: Cross multiply
    907.88x = 1,902.66 × 1,902.66
  4. Step 4: Simplify right side
    907.88x = 3,620,100.81
  5. Step 5: Solve for x
    x = 3,620,100.81/907.88
  6. Step 6: Final answer
    x = 3,987.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.