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Finding the Third Proportional to 78,231.75 and 168,935.25

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Solution

The third proportional to 78,231.75 and 168,935.25 is: 364,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,231.75 : 168,935.25 = 168,935.25 : x
  2. Step 2: Convert to fraction form
    78,231.75/168,935.25 = 168,935.25/x
  3. Step 3: Cross multiply
    78,231.75x = 168,935.25 × 168,935.25
  4. Step 4: Simplify right side
    78,231.75x = 28,539,118,692.56
  5. Step 5: Solve for x
    x = 28,539,118,692.56/78,231.75
  6. Step 6: Final answer
    x = 364,802.25

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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.