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Finding the Third Proportional to 395,993 and 525,090

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Solution

The third proportional to 395,993 and 525,090 is: 696,273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,993 : 525,090 = 525,090 : x
  2. Step 2: Convert to fraction form
    395,993/525,090 = 525,090/x
  3. Step 3: Cross multiply
    395,993x = 525,090 × 525,090
  4. Step 4: Simplify right side
    395,993x = 275,719,508,100
  5. Step 5: Solve for x
    x = 275,719,508,100/395,993
  6. Step 6: Final answer
    x = 696,273.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.