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Finding the Third Proportional to 395,976 and 525,069

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Solution

The third proportional to 395,976 and 525,069 is: 696,247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,976 : 525,069 = 525,069 : x
  2. Step 2: Convert to fraction form
    395,976/525,069 = 525,069/x
  3. Step 3: Cross multiply
    395,976x = 525,069 × 525,069
  4. Step 4: Simplify right side
    395,976x = 275,697,454,761
  5. Step 5: Solve for x
    x = 275,697,454,761/395,976
  6. Step 6: Final answer
    x = 696,247.89

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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.