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Finding the Third Proportional to 451,541 and 980,815

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Solution

The third proportional to 451,541 and 980,815 is: 2,130,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,541 : 980,815 = 980,815 : x
  2. Step 2: Convert to fraction form
    451,541/980,815 = 980,815/x
  3. Step 3: Cross multiply
    451,541x = 980,815 × 980,815
  4. Step 4: Simplify right side
    451,541x = 961,998,064,225
  5. Step 5: Solve for x
    x = 961,998,064,225/451,541
  6. Step 6: Final answer
    x = 2,130,477.77

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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.