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Finding the Third Proportional to 206,423 and 319,028

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Solution

The third proportional to 206,423 and 319,028 is: 493,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,423 : 319,028 = 319,028 : x
  2. Step 2: Convert to fraction form
    206,423/319,028 = 319,028/x
  3. Step 3: Cross multiply
    206,423x = 319,028 × 319,028
  4. Step 4: Simplify right side
    206,423x = 101,778,864,784
  5. Step 5: Solve for x
    x = 101,778,864,784/206,423
  6. Step 6: Final answer
    x = 493,059.71

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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.