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Finding the Third Proportional to 236,780 and 519,400

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Solution

The third proportional to 236,780 and 519,400 is: 1,139,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,780 : 519,400 = 519,400 : x
  2. Step 2: Convert to fraction form
    236,780/519,400 = 519,400/x
  3. Step 3: Cross multiply
    236,780x = 519,400 × 519,400
  4. Step 4: Simplify right side
    236,780x = 269,776,360,000
  5. Step 5: Solve for x
    x = 269,776,360,000/236,780
  6. Step 6: Final answer
    x = 1,139,354.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.