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Finding the Third Proportional to 290,576 and 400,152

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Solution

The third proportional to 290,576 and 400,152 is: 551,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,576 : 400,152 = 400,152 : x
  2. Step 2: Convert to fraction form
    290,576/400,152 = 400,152/x
  3. Step 3: Cross multiply
    290,576x = 400,152 × 400,152
  4. Step 4: Simplify right side
    290,576x = 160,121,623,104
  5. Step 5: Solve for x
    x = 160,121,623,104/290,576
  6. Step 6: Final answer
    x = 551,049.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.