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Finding the Third Proportional to 451,456 and 980,671

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Solution

The third proportional to 451,456 and 980,671 is: 2,130,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,456 : 980,671 = 980,671 : x
  2. Step 2: Convert to fraction form
    451,456/980,671 = 980,671/x
  3. Step 3: Cross multiply
    451,456x = 980,671 × 980,671
  4. Step 4: Simplify right side
    451,456x = 961,715,610,241
  5. Step 5: Solve for x
    x = 961,715,610,241/451,456
  6. Step 6: Final answer
    x = 2,130,253.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.