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Finding the Third Proportional to 286,571 and 622,894

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Solution

The third proportional to 286,571 and 622,894 is: 1,353,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,571 : 622,894 = 622,894 : x
  2. Step 2: Convert to fraction form
    286,571/622,894 = 622,894/x
  3. Step 3: Cross multiply
    286,571x = 622,894 × 622,894
  4. Step 4: Simplify right side
    286,571x = 387,996,935,236
  5. Step 5: Solve for x
    x = 387,996,935,236/286,571
  6. Step 6: Final answer
    x = 1,353,929.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.