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Finding the Third Proportional to 340,678 and 716,668

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Solution

The third proportional to 340,678 and 716,668 is: 1,507,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,678 : 716,668 = 716,668 : x
  2. Step 2: Convert to fraction form
    340,678/716,668 = 716,668/x
  3. Step 3: Cross multiply
    340,678x = 716,668 × 716,668
  4. Step 4: Simplify right side
    340,678x = 513,613,022,224
  5. Step 5: Solve for x
    x = 513,613,022,224/340,678
  6. Step 6: Final answer
    x = 1,507,620.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.