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Finding the Third Proportional to 405.75 and 975.38

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Solution

The third proportional to 405.75 and 975.38 is: 2,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.75 : 975.38 = 975.38 : x
  2. Step 2: Convert to fraction form
    405.75/975.38 = 975.38/x
  3. Step 3: Cross multiply
    405.75x = 975.38 × 975.38
  4. Step 4: Simplify right side
    405.75x = 951,356.39
  5. Step 5: Solve for x
    x = 951,356.39/405.75
  6. Step 6: Final answer
    x = 2,344.69

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.