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Finding the Third Proportional to 84,362.50 and 178,211

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Solution

The third proportional to 84,362.50 and 178,211 is: 376,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,362.50 : 178,211 = 178,211 : x
  2. Step 2: Convert to fraction form
    84,362.50/178,211 = 178,211/x
  3. Step 3: Cross multiply
    84,362.50x = 178,211 × 178,211
  4. Step 4: Simplify right side
    84,362.50x = 31,759,160,521
  5. Step 5: Solve for x
    x = 31,759,160,521/84,362.50
  6. Step 6: Final answer
    x = 376,460.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.