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Finding the Third Proportional to 325,428 and 685,848

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Solution

The third proportional to 325,428 and 685,848 is: 1,445,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,428 : 685,848 = 685,848 : x
  2. Step 2: Convert to fraction form
    325,428/685,848 = 685,848/x
  3. Step 3: Cross multiply
    325,428x = 685,848 × 685,848
  4. Step 4: Simplify right side
    325,428x = 470,387,479,104
  5. Step 5: Solve for x
    x = 470,387,479,104/325,428
  6. Step 6: Final answer
    x = 1,445,442.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.