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Finding the Third Proportional to 430,839.75 and 603,742.50

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Solution

The third proportional to 430,839.75 and 603,742.50 is: 846,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,839.75 : 603,742.50 = 603,742.50 : x
  2. Step 2: Convert to fraction form
    430,839.75/603,742.50 = 603,742.50/x
  3. Step 3: Cross multiply
    430,839.75x = 603,742.50 × 603,742.50
  4. Step 4: Simplify right side
    430,839.75x = 364,505,006,306.25
  5. Step 5: Solve for x
    x = 364,505,006,306.25/430,839.75
  6. Step 6: Final answer
    x = 846,033.84

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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.