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Finding the Third Proportional to 291,866 and 419,367

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Solution

The third proportional to 291,866 and 419,367 is: 602,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,866 : 419,367 = 419,367 : x
  2. Step 2: Convert to fraction form
    291,866/419,367 = 419,367/x
  3. Step 3: Cross multiply
    291,866x = 419,367 × 419,367
  4. Step 4: Simplify right side
    291,866x = 175,868,680,689
  5. Step 5: Solve for x
    x = 175,868,680,689/291,866
  6. Step 6: Final answer
    x = 602,566.52

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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.