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Finding the Third Proportional to 120,233.11 and 257,265.49

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Solution

The third proportional to 120,233.11 and 257,265.49 is: 550,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,233.11 : 257,265.49 = 257,265.49 : x
  2. Step 2: Convert to fraction form
    120,233.11/257,265.49 = 257,265.49/x
  3. Step 3: Cross multiply
    120,233.11x = 257,265.49 × 257,265.49
  4. Step 4: Simplify right side
    120,233.11x = 66,185,533,470.48
  5. Step 5: Solve for x
    x = 66,185,533,470.48/120,233.11
  6. Step 6: Final answer
    x = 550,476.77

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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.