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Finding the Third Proportional to 302,148 and 408,904

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Solution

The third proportional to 302,148 and 408,904 is: 553,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,148 : 408,904 = 408,904 : x
  2. Step 2: Convert to fraction form
    302,148/408,904 = 408,904/x
  3. Step 3: Cross multiply
    302,148x = 408,904 × 408,904
  4. Step 4: Simplify right side
    302,148x = 167,202,481,216
  5. Step 5: Solve for x
    x = 167,202,481,216/302,148
  6. Step 6: Final answer
    x = 553,379.41

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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.