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Finding the Third Proportional to 302,132.25 and 408,879.56

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Solution

The third proportional to 302,132.25 and 408,879.56 is: 553,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,132.25 : 408,879.56 = 408,879.56 : x
  2. Step 2: Convert to fraction form
    302,132.25/408,879.56 = 408,879.56/x
  3. Step 3: Cross multiply
    302,132.25x = 408,879.56 × 408,879.56
  4. Step 4: Simplify right side
    302,132.25x = 167,182,496,630.19
  5. Step 5: Solve for x
    x = 167,182,496,630.19/302,132.25
  6. Step 6: Final answer
    x = 553,342.11

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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.