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Finding the Third Proportional to 212,284.13 and 309,676.50

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Solution

The third proportional to 212,284.13 and 309,676.50 is: 451,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,284.13 : 309,676.50 = 309,676.50 : x
  2. Step 2: Convert to fraction form
    212,284.13/309,676.50 = 309,676.50/x
  3. Step 3: Cross multiply
    212,284.13x = 309,676.50 × 309,676.50
  4. Step 4: Simplify right side
    212,284.13x = 95,899,534,652.25
  5. Step 5: Solve for x
    x = 95,899,534,652.25/212,284.13
  6. Step 6: Final answer
    x = 451,750.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.