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Finding the Third Proportional to 451,408 and 701,216

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Solution

The third proportional to 451,408 and 701,216 is: 1,089,267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,408 : 701,216 = 701,216 : x
  2. Step 2: Convert to fraction form
    451,408/701,216 = 701,216/x
  3. Step 3: Cross multiply
    451,408x = 701,216 × 701,216
  4. Step 4: Simplify right side
    451,408x = 491,703,878,656
  5. Step 5: Solve for x
    x = 491,703,878,656/451,408
  6. Step 6: Final answer
    x = 1,089,267.09

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Why These Related Problems?

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