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Finding the Third Proportional to 138,615 and 291,720

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Solution

The third proportional to 138,615 and 291,720 is: 613,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,615 : 291,720 = 291,720 : x
  2. Step 2: Convert to fraction form
    138,615/291,720 = 291,720/x
  3. Step 3: Cross multiply
    138,615x = 291,720 × 291,720
  4. Step 4: Simplify right side
    138,615x = 85,100,558,400
  5. Step 5: Solve for x
    x = 85,100,558,400/138,615
  6. Step 6: Final answer
    x = 613,934.70

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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.