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Finding the Third Proportional to 310,869 and 472,383

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Solution

The third proportional to 310,869 and 472,383 is: 717,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,869 : 472,383 = 472,383 : x
  2. Step 2: Convert to fraction form
    310,869/472,383 = 472,383/x
  3. Step 3: Cross multiply
    310,869x = 472,383 × 472,383
  4. Step 4: Simplify right side
    310,869x = 223,145,698,689
  5. Step 5: Solve for x
    x = 223,145,698,689/310,869
  6. Step 6: Final answer
    x = 717,812.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.