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Finding the Third Proportional to 230,628 and 345,942

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Solution

The third proportional to 230,628 and 345,942 is: 518,913

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,628 : 345,942 = 345,942 : x
  2. Step 2: Convert to fraction form
    230,628/345,942 = 345,942/x
  3. Step 3: Cross multiply
    230,628x = 345,942 × 345,942
  4. Step 4: Simplify right side
    230,628x = 119,675,867,364
  5. Step 5: Solve for x
    x = 119,675,867,364/230,628
  6. Step 6: Final answer
    x = 518,913

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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.