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Finding the Third Proportional to 907.45 and 1,987.73

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Solution

The third proportional to 907.45 and 1,987.73 is: 4,354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.45 : 1,987.73 = 1,987.73 : x
  2. Step 2: Convert to fraction form
    907.45/1,987.73 = 1,987.73/x
  3. Step 3: Cross multiply
    907.45x = 1,987.73 × 1,987.73
  4. Step 4: Simplify right side
    907.45x = 3,951,087.95
  5. Step 5: Solve for x
    x = 3,951,087.95/907.45
  6. Step 6: Final answer
    x = 4,354.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.