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Finding the Third Proportional to 395,991 and 525,087

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Solution

The third proportional to 395,991 and 525,087 is: 696,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,991 : 525,087 = 525,087 : x
  2. Step 2: Convert to fraction form
    395,991/525,087 = 525,087/x
  3. Step 3: Cross multiply
    395,991x = 525,087 × 525,087
  4. Step 4: Simplify right side
    395,991x = 275,716,357,569
  5. Step 5: Solve for x
    x = 275,716,357,569/395,991
  6. Step 6: Final answer
    x = 696,269.25

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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.