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Finding the Third Proportional to 263,951 and 358,611

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Solution

The third proportional to 263,951 and 358,611 is: 487,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,951 : 358,611 = 358,611 : x
  2. Step 2: Convert to fraction form
    263,951/358,611 = 358,611/x
  3. Step 3: Cross multiply
    263,951x = 358,611 × 358,611
  4. Step 4: Simplify right side
    263,951x = 128,601,849,321
  5. Step 5: Solve for x
    x = 128,601,849,321/263,951
  6. Step 6: Final answer
    x = 487,218.65

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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.