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Finding the Third Proportional to 857,977 and 1,138,522

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Solution

The third proportional to 857,977 and 1,138,522 is: 1,510,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,977 : 1,138,522 = 1,138,522 : x
  2. Step 2: Convert to fraction form
    857,977/1,138,522 = 1,138,522/x
  3. Step 3: Cross multiply
    857,977x = 1,138,522 × 1,138,522
  4. Step 4: Simplify right side
    857,977x = 1,296,232,344,484
  5. Step 5: Solve for x
    x = 1,296,232,344,484/857,977
  6. Step 6: Final answer
    x = 1,510,800.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.