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Finding the Third Proportional to 235,872 and 513,216

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Solution

The third proportional to 235,872 and 513,216 is: 1,116,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,872 : 513,216 = 513,216 : x
  2. Step 2: Convert to fraction form
    235,872/513,216 = 513,216/x
  3. Step 3: Cross multiply
    235,872x = 513,216 × 513,216
  4. Step 4: Simplify right side
    235,872x = 263,390,662,656
  5. Step 5: Solve for x
    x = 263,390,662,656/235,872
  6. Step 6: Final answer
    x = 1,116,667.78

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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.