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Finding the Third Proportional to 389,696 and 528,096

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Solution

The third proportional to 389,696 and 528,096 is: 715,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,696 : 528,096 = 528,096 : x
  2. Step 2: Convert to fraction form
    389,696/528,096 = 528,096/x
  3. Step 3: Cross multiply
    389,696x = 528,096 × 528,096
  4. Step 4: Simplify right side
    389,696x = 278,885,385,216
  5. Step 5: Solve for x
    x = 278,885,385,216/389,696
  6. Step 6: Final answer
    x = 715,648.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.