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Finding the Third Proportional to 236,628 and 513,391

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Solution

The third proportional to 236,628 and 513,391 is: 1,113,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,628 : 513,391 = 513,391 : x
  2. Step 2: Convert to fraction form
    236,628/513,391 = 513,391/x
  3. Step 3: Cross multiply
    236,628x = 513,391 × 513,391
  4. Step 4: Simplify right side
    236,628x = 263,570,318,881
  5. Step 5: Solve for x
    x = 263,570,318,881/236,628
  6. Step 6: Final answer
    x = 1,113,859.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.