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Finding the Third Proportional to 340,686 and 716,680

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Solution

The third proportional to 340,686 and 716,680 is: 1,507,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,686 : 716,680 = 716,680 : x
  2. Step 2: Convert to fraction form
    340,686/716,680 = 716,680/x
  3. Step 3: Cross multiply
    340,686x = 716,680 × 716,680
  4. Step 4: Simplify right side
    340,686x = 513,630,222,400
  5. Step 5: Solve for x
    x = 513,630,222,400/340,686
  6. Step 6: Final answer
    x = 1,507,635.25

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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.