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Finding the Third Proportional to 10,842,110 and 14,454,183

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Solution

The third proportional to 10,842,110 and 14,454,183 is: 19,269,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842,110 : 14,454,183 = 14,454,183 : x
  2. Step 2: Convert to fraction form
    10,842,110/14,454,183 = 14,454,183/x
  3. Step 3: Cross multiply
    10,842,110x = 14,454,183 × 14,454,183
  4. Step 4: Simplify right side
    10,842,110x = 208,923,406,197,489
  5. Step 5: Solve for x
    x = 208,923,406,197,489/10,842,110
  6. Step 6: Final answer
    x = 19,269,626.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.