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Finding the Third Proportional to 186,880 and 290,164

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Solution

The third proportional to 186,880 and 290,164 is: 450,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,880 : 290,164 = 290,164 : x
  2. Step 2: Convert to fraction form
    186,880/290,164 = 290,164/x
  3. Step 3: Cross multiply
    186,880x = 290,164 × 290,164
  4. Step 4: Simplify right side
    186,880x = 84,195,146,896
  5. Step 5: Solve for x
    x = 84,195,146,896/186,880
  6. Step 6: Final answer
    x = 450,530.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.