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Finding the Third Proportional to 142,485 and 300,990

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Solution

The third proportional to 142,485 and 300,990 is: 635,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,485 : 300,990 = 300,990 : x
  2. Step 2: Convert to fraction form
    142,485/300,990 = 300,990/x
  3. Step 3: Cross multiply
    142,485x = 300,990 × 300,990
  4. Step 4: Simplify right side
    142,485x = 90,594,980,100
  5. Step 5: Solve for x
    x = 90,594,980,100/142,485
  6. Step 6: Final answer
    x = 635,821.17

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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.