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Finding the Third Proportional to 120,807 and 280,872

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Solution

The third proportional to 120,807 and 280,872 is: 653,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,807 : 280,872 = 280,872 : x
  2. Step 2: Convert to fraction form
    120,807/280,872 = 280,872/x
  3. Step 3: Cross multiply
    120,807x = 280,872 × 280,872
  4. Step 4: Simplify right side
    120,807x = 78,889,080,384
  5. Step 5: Solve for x
    x = 78,889,080,384/120,807
  6. Step 6: Final answer
    x = 653,017.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.