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Finding the Third Proportional to 302,218 and 408,949

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Solution

The third proportional to 302,218 and 408,949 is: 553,373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,218 : 408,949 = 408,949 : x
  2. Step 2: Convert to fraction form
    302,218/408,949 = 408,949/x
  3. Step 3: Cross multiply
    302,218x = 408,949 × 408,949
  4. Step 4: Simplify right side
    302,218x = 167,239,284,601
  5. Step 5: Solve for x
    x = 167,239,284,601/302,218
  6. Step 6: Final answer
    x = 553,373.01

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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.