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Finding the Third Proportional to 289,998 and 408,387

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Solution

The third proportional to 289,998 and 408,387 is: 575,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,998 : 408,387 = 408,387 : x
  2. Step 2: Convert to fraction form
    289,998/408,387 = 408,387/x
  3. Step 3: Cross multiply
    289,998x = 408,387 × 408,387
  4. Step 4: Simplify right side
    289,998x = 166,779,941,769
  5. Step 5: Solve for x
    x = 166,779,941,769/289,998
  6. Step 6: Final answer
    x = 575,107.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.