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Finding the Third Proportional to 550,533 and 842,256

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Solution

The third proportional to 550,533 and 842,256 is: 1,288,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,533 : 842,256 = 842,256 : x
  2. Step 2: Convert to fraction form
    550,533/842,256 = 842,256/x
  3. Step 3: Cross multiply
    550,533x = 842,256 × 842,256
  4. Step 4: Simplify right side
    550,533x = 709,395,169,536
  5. Step 5: Solve for x
    x = 709,395,169,536/550,533
  6. Step 6: Final answer
    x = 1,288,560.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.