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Finding the Third Proportional to 265,864 and 408,653

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Solution

The third proportional to 265,864 and 408,653 is: 628,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,864 : 408,653 = 408,653 : x
  2. Step 2: Convert to fraction form
    265,864/408,653 = 408,653/x
  3. Step 3: Cross multiply
    265,864x = 408,653 × 408,653
  4. Step 4: Simplify right side
    265,864x = 166,997,274,409
  5. Step 5: Solve for x
    x = 166,997,274,409/265,864
  6. Step 6: Final answer
    x = 628,130.45

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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.