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Finding the Third Proportional to 233,388 and 475,336.50

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Solution

The third proportional to 233,388 and 475,336.50 is: 968,107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,388 : 475,336.50 = 475,336.50 : x
  2. Step 2: Convert to fraction form
    233,388/475,336.50 = 475,336.50/x
  3. Step 3: Cross multiply
    233,388x = 475,336.50 × 475,336.50
  4. Step 4: Simplify right side
    233,388x = 225,944,788,232.25
  5. Step 5: Solve for x
    x = 225,944,788,232.25/233,388
  6. Step 6: Final answer
    x = 968,107.99

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.