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Finding the Third Proportional to 275,976 and 407,812.50

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Solution

The third proportional to 275,976 and 407,812.50 is: 602,628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,976 : 407,812.50 = 407,812.50 : x
  2. Step 2: Convert to fraction form
    275,976/407,812.50 = 407,812.50/x
  3. Step 3: Cross multiply
    275,976x = 407,812.50 × 407,812.50
  4. Step 4: Simplify right side
    275,976x = 166,311,035,156.25
  5. Step 5: Solve for x
    x = 166,311,035,156.25/275,976
  6. Step 6: Final answer
    x = 602,628.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.