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Finding the Third Proportional to 78,308 and 167,696

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Solution

The third proportional to 78,308 and 167,696 is: 359,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,308 : 167,696 = 167,696 : x
  2. Step 2: Convert to fraction form
    78,308/167,696 = 167,696/x
  3. Step 3: Cross multiply
    78,308x = 167,696 × 167,696
  4. Step 4: Simplify right side
    78,308x = 28,121,948,416
  5. Step 5: Solve for x
    x = 28,121,948,416/78,308
  6. Step 6: Final answer
    x = 359,119.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.