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Finding the Third Proportional to 594.25 and 933.25

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Solution

The third proportional to 594.25 and 933.25 is: 1,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.25 : 933.25 = 933.25 : x
  2. Step 2: Convert to fraction form
    594.25/933.25 = 933.25/x
  3. Step 3: Cross multiply
    594.25x = 933.25 × 933.25
  4. Step 4: Simplify right side
    594.25x = 870,955.56
  5. Step 5: Solve for x
    x = 870,955.56/594.25
  6. Step 6: Final answer
    x = 1,465.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.