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Finding the Third Proportional to 302,017 and 408,736

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Solution

The third proportional to 302,017 and 408,736 is: 553,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,017 : 408,736 = 408,736 : x
  2. Step 2: Convert to fraction form
    302,017/408,736 = 408,736/x
  3. Step 3: Cross multiply
    302,017x = 408,736 × 408,736
  4. Step 4: Simplify right side
    302,017x = 167,065,117,696
  5. Step 5: Solve for x
    x = 167,065,117,696/302,017
  6. Step 6: Final answer
    x = 553,164.62

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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.