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Finding the Third Proportional to 485,408 and 759,796

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Solution

The third proportional to 485,408 and 759,796 is: 1,189,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,408 : 759,796 = 759,796 : x
  2. Step 2: Convert to fraction form
    485,408/759,796 = 759,796/x
  3. Step 3: Cross multiply
    485,408x = 759,796 × 759,796
  4. Step 4: Simplify right side
    485,408x = 577,289,961,616
  5. Step 5: Solve for x
    x = 577,289,961,616/485,408
  6. Step 6: Final answer
    x = 1,189,288.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.