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Finding the Third Proportional to 120,728 and 257,048

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Solution

The third proportional to 120,728 and 257,048 is: 547,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,728 : 257,048 = 257,048 : x
  2. Step 2: Convert to fraction form
    120,728/257,048 = 257,048/x
  3. Step 3: Cross multiply
    120,728x = 257,048 × 257,048
  4. Step 4: Simplify right side
    120,728x = 66,073,674,304
  5. Step 5: Solve for x
    x = 66,073,674,304/120,728
  6. Step 6: Final answer
    x = 547,293.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.