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Finding the Third Proportional to 479,354 and 690,518

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Solution

The third proportional to 479,354 and 690,518 is: 994,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,354 : 690,518 = 690,518 : x
  2. Step 2: Convert to fraction form
    479,354/690,518 = 690,518/x
  3. Step 3: Cross multiply
    479,354x = 690,518 × 690,518
  4. Step 4: Simplify right side
    479,354x = 476,815,108,324
  5. Step 5: Solve for x
    x = 476,815,108,324/479,354
  6. Step 6: Final answer
    x = 994,703.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.