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Finding the Third Proportional to 320,089 and 699,236

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Solution

The third proportional to 320,089 and 699,236 is: 1,527,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,089 : 699,236 = 699,236 : x
  2. Step 2: Convert to fraction form
    320,089/699,236 = 699,236/x
  3. Step 3: Cross multiply
    320,089x = 699,236 × 699,236
  4. Step 4: Simplify right side
    320,089x = 488,930,983,696
  5. Step 5: Solve for x
    x = 488,930,983,696/320,089
  6. Step 6: Final answer
    x = 1,527,484.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.