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Finding the Third Proportional to 155,921 and 336,787

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Solution

The third proportional to 155,921 and 336,787 is: 727,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,921 : 336,787 = 336,787 : x
  2. Step 2: Convert to fraction form
    155,921/336,787 = 336,787/x
  3. Step 3: Cross multiply
    155,921x = 336,787 × 336,787
  4. Step 4: Simplify right side
    155,921x = 113,425,483,369
  5. Step 5: Solve for x
    x = 113,425,483,369/155,921
  6. Step 6: Final answer
    x = 727,454.82

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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.