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Finding the Third Proportional to 300,646 and 626,170

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Solution

The third proportional to 300,646 and 626,170 is: 1,304,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,646 : 626,170 = 626,170 : x
  2. Step 2: Convert to fraction form
    300,646/626,170 = 626,170/x
  3. Step 3: Cross multiply
    300,646x = 626,170 × 626,170
  4. Step 4: Simplify right side
    300,646x = 392,088,868,900
  5. Step 5: Solve for x
    x = 392,088,868,900/300,646
  6. Step 6: Final answer
    x = 1,304,154.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.