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Finding the Third Proportional to 485,678 and 753,951

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Solution

The third proportional to 485,678 and 753,951 is: 1,170,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,678 : 753,951 = 753,951 : x
  2. Step 2: Convert to fraction form
    485,678/753,951 = 753,951/x
  3. Step 3: Cross multiply
    485,678x = 753,951 × 753,951
  4. Step 4: Simplify right side
    485,678x = 568,442,110,401
  5. Step 5: Solve for x
    x = 568,442,110,401/485,678
  6. Step 6: Final answer
    x = 1,170,409.43

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