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Finding the Third Proportional to 430,830.75 and 603,731.25

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Solution

The third proportional to 430,830.75 and 603,731.25 is: 846,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,830.75 : 603,731.25 = 603,731.25 : x
  2. Step 2: Convert to fraction form
    430,830.75/603,731.25 = 603,731.25/x
  3. Step 3: Cross multiply
    430,830.75x = 603,731.25 × 603,731.25
  4. Step 4: Simplify right side
    430,830.75x = 364,491,422,226.56
  5. Step 5: Solve for x
    x = 364,491,422,226.56/430,830.75
  6. Step 6: Final answer
    x = 846,019.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.