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Finding the Third Proportional to 128,249.25 and 191,656.50

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Solution

The third proportional to 128,249.25 and 191,656.50 is: 286,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,249.25 : 191,656.50 = 191,656.50 : x
  2. Step 2: Convert to fraction form
    128,249.25/191,656.50 = 191,656.50/x
  3. Step 3: Cross multiply
    128,249.25x = 191,656.50 × 191,656.50
  4. Step 4: Simplify right side
    128,249.25x = 36,732,213,992.25
  5. Step 5: Solve for x
    x = 36,732,213,992.25/128,249.25
  6. Step 6: Final answer
    x = 286,412.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.