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Finding the Third Proportional to 230,890.50 and 345,408

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Solution

The third proportional to 230,890.50 and 345,408 is: 516,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,890.50 : 345,408 = 345,408 : x
  2. Step 2: Convert to fraction form
    230,890.50/345,408 = 345,408/x
  3. Step 3: Cross multiply
    230,890.50x = 345,408 × 345,408
  4. Step 4: Simplify right side
    230,890.50x = 119,306,686,464
  5. Step 5: Solve for x
    x = 119,306,686,464/230,890.50
  6. Step 6: Final answer
    x = 516,724.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.