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Finding the Third Proportional to 407,488.50 and 645,096.75

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Solution

The third proportional to 407,488.50 and 645,096.75 is: 1,021,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,488.50 : 645,096.75 = 645,096.75 : x
  2. Step 2: Convert to fraction form
    407,488.50/645,096.75 = 645,096.75/x
  3. Step 3: Cross multiply
    407,488.50x = 645,096.75 × 645,096.75
  4. Step 4: Simplify right side
    407,488.50x = 416,149,816,860.56
  5. Step 5: Solve for x
    x = 416,149,816,860.56/407,488.50
  6. Step 6: Final answer
    x = 1,021,255.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.