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Finding the Third Proportional to 131,413 and 205,911

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Solution

The third proportional to 131,413 and 205,911 is: 322,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,413 : 205,911 = 205,911 : x
  2. Step 2: Convert to fraction form
    131,413/205,911 = 205,911/x
  3. Step 3: Cross multiply
    131,413x = 205,911 × 205,911
  4. Step 4: Simplify right side
    131,413x = 42,399,339,921
  5. Step 5: Solve for x
    x = 42,399,339,921/131,413
  6. Step 6: Final answer
    x = 322,641.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.