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Finding the Third Proportional to 265,859 and 408,644

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Solution

The third proportional to 265,859 and 408,644 is: 628,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,859 : 408,644 = 408,644 : x
  2. Step 2: Convert to fraction form
    265,859/408,644 = 408,644/x
  3. Step 3: Cross multiply
    265,859x = 408,644 × 408,644
  4. Step 4: Simplify right side
    265,859x = 166,989,918,736
  5. Step 5: Solve for x
    x = 166,989,918,736/265,859
  6. Step 6: Final answer
    x = 628,114.60

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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.