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Finding the Third Proportional to 315,968 and 513,339

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Solution

The third proportional to 315,968 and 513,339 is: 833,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,968 : 513,339 = 513,339 : x
  2. Step 2: Convert to fraction form
    315,968/513,339 = 513,339/x
  3. Step 3: Cross multiply
    315,968x = 513,339 × 513,339
  4. Step 4: Simplify right side
    315,968x = 263,516,928,921
  5. Step 5: Solve for x
    x = 263,516,928,921/315,968
  6. Step 6: Final answer
    x = 833,998.79

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.