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Finding the Third Proportional to 550,416 and 842,034

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Solution

The third proportional to 550,416 and 842,034 is: 1,288,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,416 : 842,034 = 842,034 : x
  2. Step 2: Convert to fraction form
    550,416/842,034 = 842,034/x
  3. Step 3: Cross multiply
    550,416x = 842,034 × 842,034
  4. Step 4: Simplify right side
    550,416x = 709,021,257,156
  5. Step 5: Solve for x
    x = 709,021,257,156/550,416
  6. Step 6: Final answer
    x = 1,288,155.24

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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.