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Finding the Third Proportional to 354,682 and 497,689

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Solution

The third proportional to 354,682 and 497,689 is: 698,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,682 : 497,689 = 497,689 : x
  2. Step 2: Convert to fraction form
    354,682/497,689 = 497,689/x
  3. Step 3: Cross multiply
    354,682x = 497,689 × 497,689
  4. Step 4: Simplify right side
    354,682x = 247,694,340,721
  5. Step 5: Solve for x
    x = 247,694,340,721/354,682
  6. Step 6: Final answer
    x = 698,356.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.