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Finding the Third Proportional to 343,815 and 742,936

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Solution

The third proportional to 343,815 and 742,936 is: 1,605,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,815 : 742,936 = 742,936 : x
  2. Step 2: Convert to fraction form
    343,815/742,936 = 742,936/x
  3. Step 3: Cross multiply
    343,815x = 742,936 × 742,936
  4. Step 4: Simplify right side
    343,815x = 551,953,900,096
  5. Step 5: Solve for x
    x = 551,953,900,096/343,815
  6. Step 6: Final answer
    x = 1,605,380.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.