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Finding the Third Proportional to 265,856 and 408,640

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Solution

The third proportional to 265,856 and 408,640 is: 628,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,856 : 408,640 = 408,640 : x
  2. Step 2: Convert to fraction form
    265,856/408,640 = 408,640/x
  3. Step 3: Cross multiply
    265,856x = 408,640 × 408,640
  4. Step 4: Simplify right side
    265,856x = 166,986,649,600
  5. Step 5: Solve for x
    x = 166,986,649,600/265,856
  6. Step 6: Final answer
    x = 628,109.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.