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Finding the Third Proportional to 144,765 and 322,740

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Solution

The third proportional to 144,765 and 322,740 is: 719,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,765 : 322,740 = 322,740 : x
  2. Step 2: Convert to fraction form
    144,765/322,740 = 322,740/x
  3. Step 3: Cross multiply
    144,765x = 322,740 × 322,740
  4. Step 4: Simplify right side
    144,765x = 104,161,107,600
  5. Step 5: Solve for x
    x = 104,161,107,600/144,765
  6. Step 6: Final answer
    x = 719,518.58

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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.