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Finding the Third Proportional to 56.78 and 72.83

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Solution

The third proportional to 56.78 and 72.83 is: 93.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.78 : 72.83 = 72.83 : x
  2. Step 2: Convert to fraction form
    56.78/72.83 = 72.83/x
  3. Step 3: Cross multiply
    56.78x = 72.83 × 72.83
  4. Step 4: Simplify right side
    56.78x = 5,303.80
  5. Step 5: Solve for x
    x = 5,303.80/56.78
  6. Step 6: Final answer
    x = 93.41

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.