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Finding the Third Proportional to 300,290 and 659,641

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Solution

The third proportional to 300,290 and 659,641 is: 1,449,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,290 : 659,641 = 659,641 : x
  2. Step 2: Convert to fraction form
    300,290/659,641 = 659,641/x
  3. Step 3: Cross multiply
    300,290x = 659,641 × 659,641
  4. Step 4: Simplify right side
    300,290x = 435,126,248,881
  5. Step 5: Solve for x
    x = 435,126,248,881/300,290
  6. Step 6: Final answer
    x = 1,449,020.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.