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Finding the Third Proportional to 201,716 and 312,329

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Solution

The third proportional to 201,716 and 312,329 is: 483,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,716 : 312,329 = 312,329 : x
  2. Step 2: Convert to fraction form
    201,716/312,329 = 312,329/x
  3. Step 3: Cross multiply
    201,716x = 312,329 × 312,329
  4. Step 4: Simplify right side
    201,716x = 97,549,404,241
  5. Step 5: Solve for x
    x = 97,549,404,241/201,716
  6. Step 6: Final answer
    x = 483,597.75

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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.