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Finding the Third Proportional to 128,992.50 and 273,595.50

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Solution

The third proportional to 128,992.50 and 273,595.50 is: 580,301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,992.50 : 273,595.50 = 273,595.50 : x
  2. Step 2: Convert to fraction form
    128,992.50/273,595.50 = 273,595.50/x
  3. Step 3: Cross multiply
    128,992.50x = 273,595.50 × 273,595.50
  4. Step 4: Simplify right side
    128,992.50x = 74,854,497,620.25
  5. Step 5: Solve for x
    x = 74,854,497,620.25/128,992.50
  6. Step 6: Final answer
    x = 580,301.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.