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Finding the Third Proportional to 270,465 and 405,738

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Solution

The third proportional to 270,465 and 405,738 is: 608,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,465 : 405,738 = 405,738 : x
  2. Step 2: Convert to fraction form
    270,465/405,738 = 405,738/x
  3. Step 3: Cross multiply
    270,465x = 405,738 × 405,738
  4. Step 4: Simplify right side
    270,465x = 164,623,324,644
  5. Step 5: Solve for x
    x = 164,623,324,644/270,465
  6. Step 6: Final answer
    x = 608,667.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.