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Finding the Third Proportional to 289,984 and 408,368

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Solution

The third proportional to 289,984 and 408,368 is: 575,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,984 : 408,368 = 408,368 : x
  2. Step 2: Convert to fraction form
    289,984/408,368 = 408,368/x
  3. Step 3: Cross multiply
    289,984x = 408,368 × 408,368
  4. Step 4: Simplify right side
    289,984x = 166,764,423,424
  5. Step 5: Solve for x
    x = 166,764,423,424/289,984
  6. Step 6: Final answer
    x = 575,081.46

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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.