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Finding the Third Proportional to 305,845 and 472,409

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Solution

The third proportional to 305,845 and 472,409 is: 729,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,845 : 472,409 = 472,409 : x
  2. Step 2: Convert to fraction form
    305,845/472,409 = 472,409/x
  3. Step 3: Cross multiply
    305,845x = 472,409 × 472,409
  4. Step 4: Simplify right side
    305,845x = 223,170,263,281
  5. Step 5: Solve for x
    x = 223,170,263,281/305,845
  6. Step 6: Final answer
    x = 729,684.20

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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.