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Finding the Third Proportional to 145,335 and 324,684

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Solution

The third proportional to 145,335 and 324,684 is: 725,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,335 : 324,684 = 324,684 : x
  2. Step 2: Convert to fraction form
    145,335/324,684 = 324,684/x
  3. Step 3: Cross multiply
    145,335x = 324,684 × 324,684
  4. Step 4: Simplify right side
    145,335x = 105,419,699,856
  5. Step 5: Solve for x
    x = 105,419,699,856/145,335
  6. Step 6: Final answer
    x = 725,356.59

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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.