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Finding the Third Proportional to 209,439 and 331,791

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Solution

The third proportional to 209,439 and 331,791 is: 525,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,439 : 331,791 = 331,791 : x
  2. Step 2: Convert to fraction form
    209,439/331,791 = 331,791/x
  3. Step 3: Cross multiply
    209,439x = 331,791 × 331,791
  4. Step 4: Simplify right side
    209,439x = 110,085,267,681
  5. Step 5: Solve for x
    x = 110,085,267,681/209,439
  6. Step 6: Final answer
    x = 525,619.72

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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.