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Finding the Third Proportional to 200,408 and 312,086

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Solution

The third proportional to 200,408 and 312,086 is: 485,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,408 : 312,086 = 312,086 : x
  2. Step 2: Convert to fraction form
    200,408/312,086 = 312,086/x
  3. Step 3: Cross multiply
    200,408x = 312,086 × 312,086
  4. Step 4: Simplify right side
    200,408x = 97,397,671,396
  5. Step 5: Solve for x
    x = 97,397,671,396/200,408
  6. Step 6: Final answer
    x = 485,996.92

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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.