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Finding the Third Proportional to 186.19 and 431.30

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Solution

The third proportional to 186.19 and 431.30 is: 999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.19 : 431.30 = 431.30 : x
  2. Step 2: Convert to fraction form
    186.19/431.30 = 431.30/x
  3. Step 3: Cross multiply
    186.19x = 431.30 × 431.30
  4. Step 4: Simplify right side
    186.19x = 186,016.99
  5. Step 5: Solve for x
    x = 186,016.99/186.19
  6. Step 6: Final answer
    x = 999.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.