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Finding the Third Proportional to 720,619 and 1,668,058

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Solution

The third proportional to 720,619 and 1,668,058 is: 3,861,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,619 : 1,668,058 = 1,668,058 : x
  2. Step 2: Convert to fraction form
    720,619/1,668,058 = 1,668,058/x
  3. Step 3: Cross multiply
    720,619x = 1,668,058 × 1,668,058
  4. Step 4: Simplify right side
    720,619x = 2,782,417,491,364
  5. Step 5: Solve for x
    x = 2,782,417,491,364/720,619
  6. Step 6: Final answer
    x = 3,861,149.22

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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.