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Finding the Third Proportional to 49,489 and 106,789

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Solution

The third proportional to 49,489 and 106,789 is: 230,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,489 : 106,789 = 106,789 : x
  2. Step 2: Convert to fraction form
    49,489/106,789 = 106,789/x
  3. Step 3: Cross multiply
    49,489x = 106,789 × 106,789
  4. Step 4: Simplify right side
    49,489x = 11,403,890,521
  5. Step 5: Solve for x
    x = 11,403,890,521/49,489
  6. Step 6: Final answer
    x = 230,432.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.