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Finding the Third Proportional to 286,540 and 622,831

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Solution

The third proportional to 286,540 and 622,831 is: 1,353,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,540 : 622,831 = 622,831 : x
  2. Step 2: Convert to fraction form
    286,540/622,831 = 622,831/x
  3. Step 3: Cross multiply
    286,540x = 622,831 × 622,831
  4. Step 4: Simplify right side
    286,540x = 387,918,454,561
  5. Step 5: Solve for x
    x = 387,918,454,561/286,540
  6. Step 6: Final answer
    x = 1,353,802.10

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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.