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Finding the Third Proportional to 419,564.75 and 645,274.50

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Solution

The third proportional to 419,564.75 and 645,274.50 is: 992,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,564.75 : 645,274.50 = 645,274.50 : x
  2. Step 2: Convert to fraction form
    419,564.75/645,274.50 = 645,274.50/x
  3. Step 3: Cross multiply
    419,564.75x = 645,274.50 × 645,274.50
  4. Step 4: Simplify right side
    419,564.75x = 416,379,180,350.25
  5. Step 5: Solve for x
    x = 416,379,180,350.25/419,564.75
  6. Step 6: Final answer
    x = 992,407.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.