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Finding the Third Proportional to 270,194 and 405,435

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Solution

The third proportional to 270,194 and 405,435 is: 608,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,194 : 405,435 = 405,435 : x
  2. Step 2: Convert to fraction form
    270,194/405,435 = 405,435/x
  3. Step 3: Cross multiply
    270,194x = 405,435 × 405,435
  4. Step 4: Simplify right side
    270,194x = 164,377,539,225
  5. Step 5: Solve for x
    x = 164,377,539,225/270,194
  6. Step 6: Final answer
    x = 608,368.58

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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.