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Finding the Third Proportional to 289,786 and 622,421

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Solution

The third proportional to 289,786 and 622,421 is: 1,336,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,786 : 622,421 = 622,421 : x
  2. Step 2: Convert to fraction form
    289,786/622,421 = 622,421/x
  3. Step 3: Cross multiply
    289,786x = 622,421 × 622,421
  4. Step 4: Simplify right side
    289,786x = 387,407,901,241
  5. Step 5: Solve for x
    x = 387,407,901,241/289,786
  6. Step 6: Final answer
    x = 1,336,875.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.