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Finding the Third Proportional to 302,089.50 and 408,786.75

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Solution

The third proportional to 302,089.50 and 408,786.75 is: 553,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,089.50 : 408,786.75 = 408,786.75 : x
  2. Step 2: Convert to fraction form
    302,089.50/408,786.75 = 408,786.75/x
  3. Step 3: Cross multiply
    302,089.50x = 408,786.75 × 408,786.75
  4. Step 4: Simplify right side
    302,089.50x = 167,106,606,975.56
  5. Step 5: Solve for x
    x = 167,106,606,975.56/302,089.50
  6. Step 6: Final answer
    x = 553,169.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.