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Finding the Third Proportional to 302,006.81 and 422,448.75

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Solution

The third proportional to 302,006.81 and 422,448.75 is: 590,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,006.81 : 422,448.75 = 422,448.75 : x
  2. Step 2: Convert to fraction form
    302,006.81/422,448.75 = 422,448.75/x
  3. Step 3: Cross multiply
    302,006.81x = 422,448.75 × 422,448.75
  4. Step 4: Simplify right side
    302,006.81x = 178,462,946,376.56
  5. Step 5: Solve for x
    x = 178,462,946,376.56/302,006.81
  6. Step 6: Final answer
    x = 590,923.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.