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Finding the Third Proportional to 377,408 and 550,554

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Solution

The third proportional to 377,408 and 550,554 is: 803,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,408 : 550,554 = 550,554 : x
  2. Step 2: Convert to fraction form
    377,408/550,554 = 550,554/x
  3. Step 3: Cross multiply
    377,408x = 550,554 × 550,554
  4. Step 4: Simplify right side
    377,408x = 303,109,706,916
  5. Step 5: Solve for x
    x = 303,109,706,916/377,408
  6. Step 6: Final answer
    x = 803,135.35

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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.