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Finding the Third Proportional to 285,396 and 419,818

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Solution

The third proportional to 285,396 and 419,818 is: 617,552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,396 : 419,818 = 419,818 : x
  2. Step 2: Convert to fraction form
    285,396/419,818 = 419,818/x
  3. Step 3: Cross multiply
    285,396x = 419,818 × 419,818
  4. Step 4: Simplify right side
    285,396x = 176,247,153,124
  5. Step 5: Solve for x
    x = 176,247,153,124/285,396
  6. Step 6: Final answer
    x = 617,552.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.