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Finding the Third Proportional to 78,986 and 170,617

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Solution

The third proportional to 78,986 and 170,617 is: 368,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,986 : 170,617 = 170,617 : x
  2. Step 2: Convert to fraction form
    78,986/170,617 = 170,617/x
  3. Step 3: Cross multiply
    78,986x = 170,617 × 170,617
  4. Step 4: Simplify right side
    78,986x = 29,110,160,689
  5. Step 5: Solve for x
    x = 29,110,160,689/78,986
  6. Step 6: Final answer
    x = 368,548.36

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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.