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Finding the Third Proportional to 93,027.50 and 203,786

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Solution

The third proportional to 93,027.50 and 203,786 is: 446,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,027.50 : 203,786 = 203,786 : x
  2. Step 2: Convert to fraction form
    93,027.50/203,786 = 203,786/x
  3. Step 3: Cross multiply
    93,027.50x = 203,786 × 203,786
  4. Step 4: Simplify right side
    93,027.50x = 41,528,733,796
  5. Step 5: Solve for x
    x = 41,528,733,796/93,027.50
  6. Step 6: Final answer
    x = 446,413.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.