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Finding the Third Proportional to 235,960 and 513,388

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Solution

The third proportional to 235,960 and 513,388 is: 1,116,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,960 : 513,388 = 513,388 : x
  2. Step 2: Convert to fraction form
    235,960/513,388 = 513,388/x
  3. Step 3: Cross multiply
    235,960x = 513,388 × 513,388
  4. Step 4: Simplify right side
    235,960x = 263,567,238,544
  5. Step 5: Solve for x
    x = 263,567,238,544/235,960
  6. Step 6: Final answer
    x = 1,116,999.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.