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Finding the Third Proportional to 412,102 and 869,222

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Solution

The third proportional to 412,102 and 869,222 is: 1,833,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,102 : 869,222 = 869,222 : x
  2. Step 2: Convert to fraction form
    412,102/869,222 = 869,222/x
  3. Step 3: Cross multiply
    412,102x = 869,222 × 869,222
  4. Step 4: Simplify right side
    412,102x = 755,546,885,284
  5. Step 5: Solve for x
    x = 755,546,885,284/412,102
  6. Step 6: Final answer
    x = 1,833,397.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.