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Finding the Third Proportional to 331,343 and 702,122

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Solution

The third proportional to 331,343 and 702,122 is: 1,487,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,343 : 702,122 = 702,122 : x
  2. Step 2: Convert to fraction form
    331,343/702,122 = 702,122/x
  3. Step 3: Cross multiply
    331,343x = 702,122 × 702,122
  4. Step 4: Simplify right side
    331,343x = 492,975,302,884
  5. Step 5: Solve for x
    x = 492,975,302,884/331,343
  6. Step 6: Final answer
    x = 1,487,809.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.