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Finding the Third Proportional to 378,569 and 586,079

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Solution

The third proportional to 378,569 and 586,079 is: 907,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,569 : 586,079 = 586,079 : x
  2. Step 2: Convert to fraction form
    378,569/586,079 = 586,079/x
  3. Step 3: Cross multiply
    378,569x = 586,079 × 586,079
  4. Step 4: Simplify right side
    378,569x = 343,488,594,241
  5. Step 5: Solve for x
    x = 343,488,594,241/378,569
  6. Step 6: Final answer
    x = 907,334.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.