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Finding the Third Proportional to 544.78 and 1,192.08

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Solution

The third proportional to 544.78 and 1,192.08 is: 2,608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.78 : 1,192.08 = 1,192.08 : x
  2. Step 2: Convert to fraction form
    544.78/1,192.08 = 1,192.08/x
  3. Step 3: Cross multiply
    544.78x = 1,192.08 × 1,192.08
  4. Step 4: Simplify right side
    544.78x = 1,421,050.26
  5. Step 5: Solve for x
    x = 1,421,050.26/544.78
  6. Step 6: Final answer
    x = 2,608.48

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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.