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Finding the Third Proportional to 120,339.84 and 257,758.03

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Solution

The third proportional to 120,339.84 and 257,758.03 is: 552,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,339.84 : 257,758.03 = 257,758.03 : x
  2. Step 2: Convert to fraction form
    120,339.84/257,758.03 = 257,758.03/x
  3. Step 3: Cross multiply
    120,339.84x = 257,758.03 × 257,758.03
  4. Step 4: Simplify right side
    120,339.84x = 66,439,202,673.88
  5. Step 5: Solve for x
    x = 66,439,202,673.88/120,339.84
  6. Step 6: Final answer
    x = 552,096.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.