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Finding the Third Proportional to 178,530.75 and 389,110.50

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Solution

The third proportional to 178,530.75 and 389,110.50 is: 848,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,530.75 : 389,110.50 = 389,110.50 : x
  2. Step 2: Convert to fraction form
    178,530.75/389,110.50 = 389,110.50/x
  3. Step 3: Cross multiply
    178,530.75x = 389,110.50 × 389,110.50
  4. Step 4: Simplify right side
    178,530.75x = 151,406,981,210.25
  5. Step 5: Solve for x
    x = 151,406,981,210.25/178,530.75
  6. Step 6: Final answer
    x = 848,072.29

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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.