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Finding the Third Proportional to 430,830.75 and 603,729

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Solution

The third proportional to 430,830.75 and 603,729 is: 846,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,830.75 : 603,729 = 603,729 : x
  2. Step 2: Convert to fraction form
    430,830.75/603,729 = 603,729/x
  3. Step 3: Cross multiply
    430,830.75x = 603,729 × 603,729
  4. Step 4: Simplify right side
    430,830.75x = 364,488,705,441
  5. Step 5: Solve for x
    x = 364,488,705,441/430,830.75
  6. Step 6: Final answer
    x = 846,013.67

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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.