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Finding the Third Proportional to 214,636 and 339,791

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Solution

The third proportional to 214,636 and 339,791 is: 537,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,636 : 339,791 = 339,791 : x
  2. Step 2: Convert to fraction form
    214,636/339,791 = 339,791/x
  3. Step 3: Cross multiply
    214,636x = 339,791 × 339,791
  4. Step 4: Simplify right side
    214,636x = 115,457,923,681
  5. Step 5: Solve for x
    x = 115,457,923,681/214,636
  6. Step 6: Final answer
    x = 537,924.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.