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Finding the Third Proportional to 573.33 and 860.41

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Solution

The third proportional to 573.33 and 860.41 is: 1,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.33 : 860.41 = 860.41 : x
  2. Step 2: Convert to fraction form
    573.33/860.41 = 860.41/x
  3. Step 3: Cross multiply
    573.33x = 860.41 × 860.41
  4. Step 4: Simplify right side
    573.33x = 740,312.36
  5. Step 5: Solve for x
    x = 740,312.36/573.33
  6. Step 6: Final answer
    x = 1,291.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.