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Finding the Third Proportional to 315,858 and 417,339

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Solution

The third proportional to 315,858 and 417,339 is: 551,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,858 : 417,339 = 417,339 : x
  2. Step 2: Convert to fraction form
    315,858/417,339 = 417,339/x
  3. Step 3: Cross multiply
    315,858x = 417,339 × 417,339
  4. Step 4: Simplify right side
    315,858x = 174,171,840,921
  5. Step 5: Solve for x
    x = 174,171,840,921/315,858
  6. Step 6: Final answer
    x = 551,424.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.