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Finding the Third Proportional to 325,464 and 685,920

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Solution

The third proportional to 325,464 and 685,920 is: 1,445,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,464 : 685,920 = 685,920 : x
  2. Step 2: Convert to fraction form
    325,464/685,920 = 685,920/x
  3. Step 3: Cross multiply
    325,464x = 685,920 × 685,920
  4. Step 4: Simplify right side
    325,464x = 470,486,246,400
  5. Step 5: Solve for x
    x = 470,486,246,400/325,464
  6. Step 6: Final answer
    x = 1,445,586.14

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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.