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Finding the Third Proportional to 550,515.71 and 842,227.56

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Solution

The third proportional to 550,515.71 and 842,227.56 is: 1,288,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,515.71 : 842,227.56 = 842,227.56 : x
  2. Step 2: Convert to fraction form
    550,515.71/842,227.56 = 842,227.56/x
  3. Step 3: Cross multiply
    550,515.71x = 842,227.56 × 842,227.56
  4. Step 4: Simplify right side
    550,515.71x = 709,347,260,454.79
  5. Step 5: Solve for x
    x = 709,347,260,454.79/550,515.71
  6. Step 6: Final answer
    x = 1,288,514.11

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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.