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Finding the Third Proportional to 190,405.69 and 285,904.69

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Solution

The third proportional to 190,405.69 and 285,904.69 is: 429,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,405.69 : 285,904.69 = 285,904.69 : x
  2. Step 2: Convert to fraction form
    190,405.69/285,904.69 = 285,904.69/x
  3. Step 3: Cross multiply
    190,405.69x = 285,904.69 × 285,904.69
  4. Step 4: Simplify right side
    190,405.69x = 81,741,490,334.47
  5. Step 5: Solve for x
    x = 81,741,490,334.47/190,405.69
  6. Step 6: Final answer
    x = 429,301.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.