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Finding the Third Proportional to 459,129 and 992,031

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Solution

The third proportional to 459,129 and 992,031 is: 2,143,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,129 : 992,031 = 992,031 : x
  2. Step 2: Convert to fraction form
    459,129/992,031 = 992,031/x
  3. Step 3: Cross multiply
    459,129x = 992,031 × 992,031
  4. Step 4: Simplify right side
    459,129x = 984,125,504,961
  5. Step 5: Solve for x
    x = 984,125,504,961/459,129
  6. Step 6: Final answer
    x = 2,143,461.87

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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.