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Finding the Third Proportional to 310,869 and 367,641

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Solution

The third proportional to 310,869 and 367,641 is: 434,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,869 : 367,641 = 367,641 : x
  2. Step 2: Convert to fraction form
    310,869/367,641 = 367,641/x
  3. Step 3: Cross multiply
    310,869x = 367,641 × 367,641
  4. Step 4: Simplify right side
    310,869x = 135,159,904,881
  5. Step 5: Solve for x
    x = 135,159,904,881/310,869
  6. Step 6: Final answer
    x = 434,780.90

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.