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Finding the Third Proportional to 340,659 and 716,615

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Solution

The third proportional to 340,659 and 716,615 is: 1,507,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,659 : 716,615 = 716,615 : x
  2. Step 2: Convert to fraction form
    340,659/716,615 = 716,615/x
  3. Step 3: Cross multiply
    340,659x = 716,615 × 716,615
  4. Step 4: Simplify right side
    340,659x = 513,537,058,225
  5. Step 5: Solve for x
    x = 513,537,058,225/340,659
  6. Step 6: Final answer
    x = 1,507,481.26

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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.