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Finding the Third Proportional to 389,876 and 587,696

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Solution

The third proportional to 389,876 and 587,696 is: 885,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,876 : 587,696 = 587,696 : x
  2. Step 2: Convert to fraction form
    389,876/587,696 = 587,696/x
  3. Step 3: Cross multiply
    389,876x = 587,696 × 587,696
  4. Step 4: Simplify right side
    389,876x = 345,386,588,416
  5. Step 5: Solve for x
    x = 345,386,588,416/389,876
  6. Step 6: Final answer
    x = 885,888.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.