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Finding the Third Proportional to 145,364 and 324,740

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Solution

The third proportional to 145,364 and 324,740 is: 725,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,364 : 324,740 = 324,740 : x
  2. Step 2: Convert to fraction form
    145,364/324,740 = 324,740/x
  3. Step 3: Cross multiply
    145,364x = 324,740 × 324,740
  4. Step 4: Simplify right side
    145,364x = 105,456,067,600
  5. Step 5: Solve for x
    x = 105,456,067,600/145,364
  6. Step 6: Final answer
    x = 725,462.06

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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.