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Finding the Third Proportional to 78,159 and 168,168

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Solution

The third proportional to 78,159 and 168,168 is: 361,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,159 : 168,168 = 168,168 : x
  2. Step 2: Convert to fraction form
    78,159/168,168 = 168,168/x
  3. Step 3: Cross multiply
    78,159x = 168,168 × 168,168
  4. Step 4: Simplify right side
    78,159x = 28,280,476,224
  5. Step 5: Solve for x
    x = 28,280,476,224/78,159
  6. Step 6: Final answer
    x = 361,832.63

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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.