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Finding the Third Proportional to 451,130 and 991,564

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Solution

The third proportional to 451,130 and 991,564 is: 2,179,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,130 : 991,564 = 991,564 : x
  2. Step 2: Convert to fraction form
    451,130/991,564 = 991,564/x
  3. Step 3: Cross multiply
    451,130x = 991,564 × 991,564
  4. Step 4: Simplify right side
    451,130x = 983,199,166,096
  5. Step 5: Solve for x
    x = 983,199,166,096/451,130
  6. Step 6: Final answer
    x = 2,179,414.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.