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Finding the Third Proportional to 263,730 and 419,301

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Solution

The third proportional to 263,730 and 419,301 is: 666,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,730 : 419,301 = 419,301 : x
  2. Step 2: Convert to fraction form
    263,730/419,301 = 419,301/x
  3. Step 3: Cross multiply
    263,730x = 419,301 × 419,301
  4. Step 4: Simplify right side
    263,730x = 175,813,328,601
  5. Step 5: Solve for x
    x = 175,813,328,601/263,730
  6. Step 6: Final answer
    x = 666,641.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.