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Finding the Third Proportional to 77,268 and 178,876.50

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Solution

The third proportional to 77,268 and 178,876.50 is: 414,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,268 : 178,876.50 = 178,876.50 : x
  2. Step 2: Convert to fraction form
    77,268/178,876.50 = 178,876.50/x
  3. Step 3: Cross multiply
    77,268x = 178,876.50 × 178,876.50
  4. Step 4: Simplify right side
    77,268x = 31,996,802,252.25
  5. Step 5: Solve for x
    x = 31,996,802,252.25/77,268
  6. Step 6: Final answer
    x = 414,101.60

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.