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Finding the Third Proportional to 900.56 and 1,917.28

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Solution

The third proportional to 900.56 and 1,917.28 is: 4,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.56 : 1,917.28 = 1,917.28 : x
  2. Step 2: Convert to fraction form
    900.56/1,917.28 = 1,917.28/x
  3. Step 3: Cross multiply
    900.56x = 1,917.28 × 1,917.28
  4. Step 4: Simplify right side
    900.56x = 3,675,967.39
  5. Step 5: Solve for x
    x = 3,675,967.39/900.56
  6. Step 6: Final answer
    x = 4,081.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.