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Finding the Third Proportional to 432.75 and 583.13

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Solution

The third proportional to 432.75 and 583.13 is: 785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.75 : 583.13 = 583.13 : x
  2. Step 2: Convert to fraction form
    432.75/583.13 = 583.13/x
  3. Step 3: Cross multiply
    432.75x = 583.13 × 583.13
  4. Step 4: Simplify right side
    432.75x = 340,034.77
  5. Step 5: Solve for x
    x = 340,034.77/432.75
  6. Step 6: Final answer
    x = 785.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.