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Finding the Third Proportional to 377,617.50 and 820,975.50

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Solution

The third proportional to 377,617.50 and 820,975.50 is: 1,784,876.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,617.50 : 820,975.50 = 820,975.50 : x
  2. Step 2: Convert to fraction form
    377,617.50/820,975.50 = 820,975.50/x
  3. Step 3: Cross multiply
    377,617.50x = 820,975.50 × 820,975.50
  4. Step 4: Simplify right side
    377,617.50x = 674,000,771,600.25
  5. Step 5: Solve for x
    x = 674,000,771,600.25/377,617.50
  6. Step 6: Final answer
    x = 1,784,876.95

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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.