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Finding the Third Proportional to 325,839 and 697,239

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Solution

The third proportional to 325,839 and 697,239 is: 1,491,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,839 : 697,239 = 697,239 : x
  2. Step 2: Convert to fraction form
    325,839/697,239 = 697,239/x
  3. Step 3: Cross multiply
    325,839x = 697,239 × 697,239
  4. Step 4: Simplify right side
    325,839x = 486,142,223,121
  5. Step 5: Solve for x
    x = 486,142,223,121/325,839
  6. Step 6: Final answer
    x = 1,491,970.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.