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Finding the Third Proportional to 382,128 and 589,236

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Solution

The third proportional to 382,128 and 589,236 is: 908,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,128 : 589,236 = 589,236 : x
  2. Step 2: Convert to fraction form
    382,128/589,236 = 589,236/x
  3. Step 3: Cross multiply
    382,128x = 589,236 × 589,236
  4. Step 4: Simplify right side
    382,128x = 347,199,063,696
  5. Step 5: Solve for x
    x = 347,199,063,696/382,128
  6. Step 6: Final answer
    x = 908,593.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.