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Finding the Third Proportional to 492,746 and 686,519

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Solution

The third proportional to 492,746 and 686,519 is: 956,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,746 : 686,519 = 686,519 : x
  2. Step 2: Convert to fraction form
    492,746/686,519 = 686,519/x
  3. Step 3: Cross multiply
    492,746x = 686,519 × 686,519
  4. Step 4: Simplify right side
    492,746x = 471,308,337,361
  5. Step 5: Solve for x
    x = 471,308,337,361/492,746
  6. Step 6: Final answer
    x = 956,493.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.