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Finding the Third Proportional to 201,716 and 312,324

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Solution

The third proportional to 201,716 and 312,324 is: 483,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,716 : 312,324 = 312,324 : x
  2. Step 2: Convert to fraction form
    201,716/312,324 = 312,324/x
  3. Step 3: Cross multiply
    201,716x = 312,324 × 312,324
  4. Step 4: Simplify right side
    201,716x = 97,546,280,976
  5. Step 5: Solve for x
    x = 97,546,280,976/201,716
  6. Step 6: Final answer
    x = 483,582.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.