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Finding the Third Proportional to 206,719 and 301,877

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Solution

The third proportional to 206,719 and 301,877 is: 440,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,719 : 301,877 = 301,877 : x
  2. Step 2: Convert to fraction form
    206,719/301,877 = 301,877/x
  3. Step 3: Cross multiply
    206,719x = 301,877 × 301,877
  4. Step 4: Simplify right side
    206,719x = 91,129,723,129
  5. Step 5: Solve for x
    x = 91,129,723,129/206,719
  6. Step 6: Final answer
    x = 440,838.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.