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Finding the Third Proportional to 320,089 and 699,235

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Solution

The third proportional to 320,089 and 699,235 is: 1,527,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,089 : 699,235 = 699,235 : x
  2. Step 2: Convert to fraction form
    320,089/699,235 = 699,235/x
  3. Step 3: Cross multiply
    320,089x = 699,235 × 699,235
  4. Step 4: Simplify right side
    320,089x = 488,929,585,225
  5. Step 5: Solve for x
    x = 488,929,585,225/320,089
  6. Step 6: Final answer
    x = 1,527,480.12

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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.