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Finding the Third Proportional to 377,590 and 798,920

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Solution

The third proportional to 377,590 and 798,920 is: 1,690,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,590 : 798,920 = 798,920 : x
  2. Step 2: Convert to fraction form
    377,590/798,920 = 798,920/x
  3. Step 3: Cross multiply
    377,590x = 798,920 × 798,920
  4. Step 4: Simplify right side
    377,590x = 638,273,166,400
  5. Step 5: Solve for x
    x = 638,273,166,400/377,590
  6. Step 6: Final answer
    x = 1,690,386.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.