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Finding the Third Proportional to 872,586 and 1,340,775

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Solution

The third proportional to 872,586 and 1,340,775 is: 2,060,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,586 : 1,340,775 = 1,340,775 : x
  2. Step 2: Convert to fraction form
    872,586/1,340,775 = 1,340,775/x
  3. Step 3: Cross multiply
    872,586x = 1,340,775 × 1,340,775
  4. Step 4: Simplify right side
    872,586x = 1,797,677,600,625
  5. Step 5: Solve for x
    x = 1,797,677,600,625/872,586
  6. Step 6: Final answer
    x = 2,060,172.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.