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Finding the Third Proportional to 78,017 and 168,051

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Solution

The third proportional to 78,017 and 168,051 is: 361,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,017 : 168,051 = 168,051 : x
  2. Step 2: Convert to fraction form
    78,017/168,051 = 168,051/x
  3. Step 3: Cross multiply
    78,017x = 168,051 × 168,051
  4. Step 4: Simplify right side
    78,017x = 28,241,138,601
  5. Step 5: Solve for x
    x = 28,241,138,601/78,017
  6. Step 6: Final answer
    x = 361,986.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.