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Finding the Third Proportional to 186.56 and 438.56

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Solution

The third proportional to 186.56 and 438.56 is: 1,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.56 : 438.56 = 438.56 : x
  2. Step 2: Convert to fraction form
    186.56/438.56 = 438.56/x
  3. Step 3: Cross multiply
    186.56x = 438.56 × 438.56
  4. Step 4: Simplify right side
    186.56x = 192,337.07
  5. Step 5: Solve for x
    x = 192,337.07/186.56
  6. Step 6: Final answer
    x = 1,030.95

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.