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Finding the Third Proportional to 1,050.34 and 2,272.96

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Solution

The third proportional to 1,050.34 and 2,272.96 is: 4,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.34 : 2,272.96 = 2,272.96 : x
  2. Step 2: Convert to fraction form
    1,050.34/2,272.96 = 2,272.96/x
  3. Step 3: Cross multiply
    1,050.34x = 2,272.96 × 2,272.96
  4. Step 4: Simplify right side
    1,050.34x = 5,166,363.63
  5. Step 5: Solve for x
    x = 5,166,363.63/1,050.34
  6. Step 6: Final answer
    x = 4,918.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.