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Finding the Third Proportional to 857,974.50 and 1,138,519.13

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Solution

The third proportional to 857,974.50 and 1,138,519.13 is: 1,510,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,974.50 : 1,138,519.13 = 1,138,519.13 : x
  2. Step 2: Convert to fraction form
    857,974.50/1,138,519.13 = 1,138,519.13/x
  3. Step 3: Cross multiply
    857,974.50x = 1,138,519.13 × 1,138,519.13
  4. Step 4: Simplify right side
    857,974.50x = 1,296,225,797,990.77
  5. Step 5: Solve for x
    x = 1,296,225,797,990.77/857,974.50
  6. Step 6: Final answer
    x = 1,510,797.58

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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.