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Finding the Third Proportional to 229,869 and 345,117

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Solution

The third proportional to 229,869 and 345,117 is: 518,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,869 : 345,117 = 345,117 : x
  2. Step 2: Convert to fraction form
    229,869/345,117 = 345,117/x
  3. Step 3: Cross multiply
    229,869x = 345,117 × 345,117
  4. Step 4: Simplify right side
    229,869x = 119,105,743,689
  5. Step 5: Solve for x
    x = 119,105,743,689/229,869
  6. Step 6: Final answer
    x = 518,146.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.