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Finding the Third Proportional to 145,336 and 324,686

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Solution

The third proportional to 145,336 and 324,686 is: 725,360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,336 : 324,686 = 324,686 : x
  2. Step 2: Convert to fraction form
    145,336/324,686 = 324,686/x
  3. Step 3: Cross multiply
    145,336x = 324,686 × 324,686
  4. Step 4: Simplify right side
    145,336x = 105,420,998,596
  5. Step 5: Solve for x
    x = 105,420,998,596/145,336
  6. Step 6: Final answer
    x = 725,360.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.