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Finding the Third Proportional to 377,406 and 550,551

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Solution

The third proportional to 377,406 and 550,551 is: 803,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,406 : 550,551 = 550,551 : x
  2. Step 2: Convert to fraction form
    377,406/550,551 = 550,551/x
  3. Step 3: Cross multiply
    377,406x = 550,551 × 550,551
  4. Step 4: Simplify right side
    377,406x = 303,106,403,601
  5. Step 5: Solve for x
    x = 303,106,403,601/377,406
  6. Step 6: Final answer
    x = 803,130.86

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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.