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Finding the Third Proportional to 300,977.50 and 626,865.75

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Solution

The third proportional to 300,977.50 and 626,865.75 is: 1,305,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,977.50 : 626,865.75 = 626,865.75 : x
  2. Step 2: Convert to fraction form
    300,977.50/626,865.75 = 626,865.75/x
  3. Step 3: Cross multiply
    300,977.50x = 626,865.75 × 626,865.75
  4. Step 4: Simplify right side
    300,977.50x = 392,960,668,523.06
  5. Step 5: Solve for x
    x = 392,960,668,523.06/300,977.50
  6. Step 6: Final answer
    x = 1,305,614.77

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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.