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Finding the Third Proportional to 77,200 and 168,608

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Solution

The third proportional to 77,200 and 168,608 is: 368,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,200 : 168,608 = 168,608 : x
  2. Step 2: Convert to fraction form
    77,200/168,608 = 168,608/x
  3. Step 3: Cross multiply
    77,200x = 168,608 × 168,608
  4. Step 4: Simplify right side
    77,200x = 28,428,657,664
  5. Step 5: Solve for x
    x = 28,428,657,664/77,200
  6. Step 6: Final answer
    x = 368,246.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.