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Finding the Third Proportional to 78,206 and 167,480

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Solution

The third proportional to 78,206 and 167,480 is: 358,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,206 : 167,480 = 167,480 : x
  2. Step 2: Convert to fraction form
    78,206/167,480 = 167,480/x
  3. Step 3: Cross multiply
    78,206x = 167,480 × 167,480
  4. Step 4: Simplify right side
    78,206x = 28,049,550,400
  5. Step 5: Solve for x
    x = 28,049,550,400/78,206
  6. Step 6: Final answer
    x = 358,662.38

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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.