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Finding the Third Proportional to 812,359 and 1,135,669

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Solution

The third proportional to 812,359 and 1,135,669 is: 1,587,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,359 : 1,135,669 = 1,135,669 : x
  2. Step 2: Convert to fraction form
    812,359/1,135,669 = 1,135,669/x
  3. Step 3: Cross multiply
    812,359x = 1,135,669 × 1,135,669
  4. Step 4: Simplify right side
    812,359x = 1,289,744,077,561
  5. Step 5: Solve for x
    x = 1,289,744,077,561/812,359
  6. Step 6: Final answer
    x = 1,587,652.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.