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Finding the Third Proportional to 259,746 and 351,987

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Solution

The third proportional to 259,746 and 351,987 is: 476,984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,746 : 351,987 = 351,987 : x
  2. Step 2: Convert to fraction form
    259,746/351,987 = 351,987/x
  3. Step 3: Cross multiply
    259,746x = 351,987 × 351,987
  4. Step 4: Simplify right side
    259,746x = 123,894,848,169
  5. Step 5: Solve for x
    x = 123,894,848,169/259,746
  6. Step 6: Final answer
    x = 476,984.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.