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Finding the Third Proportional to 547.78 and 848.69

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Solution

The third proportional to 547.78 and 848.69 is: 1,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.78 : 848.69 = 848.69 : x
  2. Step 2: Convert to fraction form
    547.78/848.69 = 848.69/x
  3. Step 3: Cross multiply
    547.78x = 848.69 × 848.69
  4. Step 4: Simplify right side
    547.78x = 720,270.47
  5. Step 5: Solve for x
    x = 720,270.47/547.78
  6. Step 6: Final answer
    x = 1,314.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.