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Finding the Third Proportional to 443,145.94 and 645,343.03

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Solution

The third proportional to 443,145.94 and 645,343.03 is: 939,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,145.94 : 645,343.03 = 645,343.03 : x
  2. Step 2: Convert to fraction form
    443,145.94/645,343.03 = 645,343.03/x
  3. Step 3: Cross multiply
    443,145.94x = 645,343.03 × 645,343.03
  4. Step 4: Simplify right side
    443,145.94x = 416,467,627,982.94
  5. Step 5: Solve for x
    x = 416,467,627,982.94/443,145.94
  6. Step 6: Final answer
    x = 939,797.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.