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Finding the Third Proportional to 200,994 and 312,558

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Solution

The third proportional to 200,994 and 312,558 is: 486,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,994 : 312,558 = 312,558 : x
  2. Step 2: Convert to fraction form
    200,994/312,558 = 312,558/x
  3. Step 3: Cross multiply
    200,994x = 312,558 × 312,558
  4. Step 4: Simplify right side
    200,994x = 97,692,503,364
  5. Step 5: Solve for x
    x = 97,692,503,364/200,994
  6. Step 6: Final answer
    x = 486,046.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.