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Finding the Third Proportional to 521,127 and 825,855

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Solution

The third proportional to 521,127 and 825,855 is: 1,308,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,127 : 825,855 = 825,855 : x
  2. Step 2: Convert to fraction form
    521,127/825,855 = 825,855/x
  3. Step 3: Cross multiply
    521,127x = 825,855 × 825,855
  4. Step 4: Simplify right side
    521,127x = 682,036,481,025
  5. Step 5: Solve for x
    x = 682,036,481,025/521,127
  6. Step 6: Final answer
    x = 1,308,772.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.