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Finding the Third Proportional to 303,696 and 646,488

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Solution

The third proportional to 303,696 and 646,488 is: 1,376,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,696 : 646,488 = 646,488 : x
  2. Step 2: Convert to fraction form
    303,696/646,488 = 646,488/x
  3. Step 3: Cross multiply
    303,696x = 646,488 × 646,488
  4. Step 4: Simplify right side
    303,696x = 417,946,734,144
  5. Step 5: Solve for x
    x = 417,946,734,144/303,696
  6. Step 6: Final answer
    x = 1,376,200.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.