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Finding the Third Proportional to 72,968 and 157,168

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Solution

The third proportional to 72,968 and 157,168 is: 338,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,968 : 157,168 = 157,168 : x
  2. Step 2: Convert to fraction form
    72,968/157,168 = 157,168/x
  3. Step 3: Cross multiply
    72,968x = 157,168 × 157,168
  4. Step 4: Simplify right side
    72,968x = 24,701,780,224
  5. Step 5: Solve for x
    x = 24,701,780,224/72,968
  6. Step 6: Final answer
    x = 338,528.95

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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.