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Finding the Third Proportional to 553,538 and 856,131

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Solution

The third proportional to 553,538 and 856,131 is: 1,324,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,538 : 856,131 = 856,131 : x
  2. Step 2: Convert to fraction form
    553,538/856,131 = 856,131/x
  3. Step 3: Cross multiply
    553,538x = 856,131 × 856,131
  4. Step 4: Simplify right side
    553,538x = 732,960,289,161
  5. Step 5: Solve for x
    x = 732,960,289,161/553,538
  6. Step 6: Final answer
    x = 1,324,137.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.