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Finding the Third Proportional to 53,615 and 117,229

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Solution

The third proportional to 53,615 and 117,229 is: 256,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,615 : 117,229 = 117,229 : x
  2. Step 2: Convert to fraction form
    53,615/117,229 = 117,229/x
  3. Step 3: Cross multiply
    53,615x = 117,229 × 117,229
  4. Step 4: Simplify right side
    53,615x = 13,742,638,441
  5. Step 5: Solve for x
    x = 13,742,638,441/53,615
  6. Step 6: Final answer
    x = 256,320.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.