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Finding the Third Proportional to 119,012 and 257,615

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Solution

The third proportional to 119,012 and 257,615 is: 557,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,012 : 257,615 = 257,615 : x
  2. Step 2: Convert to fraction form
    119,012/257,615 = 257,615/x
  3. Step 3: Cross multiply
    119,012x = 257,615 × 257,615
  4. Step 4: Simplify right side
    119,012x = 66,365,488,225
  5. Step 5: Solve for x
    x = 66,365,488,225/119,012
  6. Step 6: Final answer
    x = 557,636.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.