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Finding the Third Proportional to 720,664 and 1,668,145

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Solution

The third proportional to 720,664 and 1,668,145 is: 3,861,310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,664 : 1,668,145 = 1,668,145 : x
  2. Step 2: Convert to fraction form
    720,664/1,668,145 = 1,668,145/x
  3. Step 3: Cross multiply
    720,664x = 1,668,145 × 1,668,145
  4. Step 4: Simplify right side
    720,664x = 2,782,707,741,025
  5. Step 5: Solve for x
    x = 2,782,707,741,025/720,664
  6. Step 6: Final answer
    x = 3,861,310.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.