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Finding the Third Proportional to 302,210 and 408,937

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Solution

The third proportional to 302,210 and 408,937 is: 553,355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,210 : 408,937 = 408,937 : x
  2. Step 2: Convert to fraction form
    302,210/408,937 = 408,937/x
  3. Step 3: Cross multiply
    302,210x = 408,937 × 408,937
  4. Step 4: Simplify right side
    302,210x = 167,229,469,969
  5. Step 5: Solve for x
    x = 167,229,469,969/302,210
  6. Step 6: Final answer
    x = 553,355.18

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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.