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Finding the Third Proportional to 305,118 and 631,452

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Solution

The third proportional to 305,118 and 631,452 is: 1,306,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,118 : 631,452 = 631,452 : x
  2. Step 2: Convert to fraction form
    305,118/631,452 = 631,452/x
  3. Step 3: Cross multiply
    305,118x = 631,452 × 631,452
  4. Step 4: Simplify right side
    305,118x = 398,731,628,304
  5. Step 5: Solve for x
    x = 398,731,628,304/305,118
  6. Step 6: Final answer
    x = 1,306,811.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.