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Finding the Third Proportional to 78,615 and 170,518

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Solution

The third proportional to 78,615 and 170,518 is: 369,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,615 : 170,518 = 170,518 : x
  2. Step 2: Convert to fraction form
    78,615/170,518 = 170,518/x
  3. Step 3: Cross multiply
    78,615x = 170,518 × 170,518
  4. Step 4: Simplify right side
    78,615x = 29,076,388,324
  5. Step 5: Solve for x
    x = 29,076,388,324/78,615
  6. Step 6: Final answer
    x = 369,858.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.