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Finding the Third Proportional to 443,157.75 and 645,362.44

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Solution

The third proportional to 443,157.75 and 645,362.44 is: 939,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,157.75 : 645,362.44 = 645,362.44 : x
  2. Step 2: Convert to fraction form
    443,157.75/645,362.44 = 645,362.44/x
  3. Step 3: Cross multiply
    443,157.75x = 645,362.44 × 645,362.44
  4. Step 4: Simplify right side
    443,157.75x = 416,492,675,735.94
  5. Step 5: Solve for x
    x = 416,492,675,735.94/443,157.75
  6. Step 6: Final answer
    x = 939,829.39

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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.