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Finding the Third Proportional to 275,214 and 407,712

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Solution

The third proportional to 275,214 and 407,712 is: 603,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,214 : 407,712 = 407,712 : x
  2. Step 2: Convert to fraction form
    275,214/407,712 = 407,712/x
  3. Step 3: Cross multiply
    275,214x = 407,712 × 407,712
  4. Step 4: Simplify right side
    275,214x = 166,229,074,944
  5. Step 5: Solve for x
    x = 166,229,074,944/275,214
  6. Step 6: Final answer
    x = 603,999.34

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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.