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Finding the Third Proportional to 120,382.88 and 130,890.94

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Solution

The third proportional to 120,382.88 and 130,890.94 is: 142,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,382.88 : 130,890.94 = 130,890.94 : x
  2. Step 2: Convert to fraction form
    120,382.88/130,890.94 = 130,890.94/x
  3. Step 3: Cross multiply
    120,382.88x = 130,890.94 × 130,890.94
  4. Step 4: Simplify right side
    120,382.88x = 17,132,437,519.63
  5. Step 5: Solve for x
    x = 17,132,437,519.63/120,382.88
  6. Step 6: Final answer
    x = 142,316.23

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.