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Finding the Third Proportional to 377,613.75 and 820,968.75

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Solution

The third proportional to 377,613.75 and 820,968.75 is: 1,784,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,613.75 : 820,968.75 = 820,968.75 : x
  2. Step 2: Convert to fraction form
    377,613.75/820,968.75 = 820,968.75/x
  3. Step 3: Cross multiply
    377,613.75x = 820,968.75 × 820,968.75
  4. Step 4: Simplify right side
    377,613.75x = 673,989,688,476.56
  5. Step 5: Solve for x
    x = 673,989,688,476.56/377,613.75
  6. Step 6: Final answer
    x = 1,784,865.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.