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Finding the Third Proportional to 290,040 and 408,440

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Solution

The third proportional to 290,040 and 408,440 is: 575,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,040 : 408,440 = 408,440 : x
  2. Step 2: Convert to fraction form
    290,040/408,440 = 408,440/x
  3. Step 3: Cross multiply
    290,040x = 408,440 × 408,440
  4. Step 4: Simplify right side
    290,040x = 166,823,233,600
  5. Step 5: Solve for x
    x = 166,823,233,600/290,040
  6. Step 6: Final answer
    x = 575,173.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.