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Finding the Third Proportional to 290,632 and 436,236

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Solution

The third proportional to 290,632 and 436,236 is: 654,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,632 : 436,236 = 436,236 : x
  2. Step 2: Convert to fraction form
    290,632/436,236 = 436,236/x
  3. Step 3: Cross multiply
    290,632x = 436,236 × 436,236
  4. Step 4: Simplify right side
    290,632x = 190,301,847,696
  5. Step 5: Solve for x
    x = 190,301,847,696/290,632
  6. Step 6: Final answer
    x = 654,786.29

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