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Finding the Third Proportional to 55,488 and 84,615

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Solution

The third proportional to 55,488 and 84,615 is: 129,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,488 : 84,615 = 84,615 : x
  2. Step 2: Convert to fraction form
    55,488/84,615 = 84,615/x
  3. Step 3: Cross multiply
    55,488x = 84,615 × 84,615
  4. Step 4: Simplify right side
    55,488x = 7,159,698,225
  5. Step 5: Solve for x
    x = 7,159,698,225/55,488
  6. Step 6: Final answer
    x = 129,031.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.