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Finding the Third Proportional to 275,278.50 and 407,801.25

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Solution

The third proportional to 275,278.50 and 407,801.25 is: 604,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,278.50 : 407,801.25 = 407,801.25 : x
  2. Step 2: Convert to fraction form
    275,278.50/407,801.25 = 407,801.25/x
  3. Step 3: Cross multiply
    275,278.50x = 407,801.25 × 407,801.25
  4. Step 4: Simplify right side
    275,278.50x = 166,301,859,501.56
  5. Step 5: Solve for x
    x = 166,301,859,501.56/275,278.50
  6. Step 6: Final answer
    x = 604,122.22

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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.