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Finding the Third Proportional to 336,698 and 748,134

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Solution

The third proportional to 336,698 and 748,134 is: 1,662,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,698 : 748,134 = 748,134 : x
  2. Step 2: Convert to fraction form
    336,698/748,134 = 748,134/x
  3. Step 3: Cross multiply
    336,698x = 748,134 × 748,134
  4. Step 4: Simplify right side
    336,698x = 559,704,481,956
  5. Step 5: Solve for x
    x = 559,704,481,956/336,698
  6. Step 6: Final answer
    x = 1,662,333.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.