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Finding the Third Proportional to 120,772 and 265,439

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Solution

The third proportional to 120,772 and 265,439 is: 583,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,772 : 265,439 = 265,439 : x
  2. Step 2: Convert to fraction form
    120,772/265,439 = 265,439/x
  3. Step 3: Cross multiply
    120,772x = 265,439 × 265,439
  4. Step 4: Simplify right side
    120,772x = 70,457,862,721
  5. Step 5: Solve for x
    x = 70,457,862,721/120,772
  6. Step 6: Final answer
    x = 583,395.68

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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.