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Finding the Third Proportional to 129,787 and 287,755

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Solution

The third proportional to 129,787 and 287,755 is: 637,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,787 : 287,755 = 287,755 : x
  2. Step 2: Convert to fraction form
    129,787/287,755 = 287,755/x
  3. Step 3: Cross multiply
    129,787x = 287,755 × 287,755
  4. Step 4: Simplify right side
    129,787x = 82,802,940,025
  5. Step 5: Solve for x
    x = 82,802,940,025/129,787
  6. Step 6: Final answer
    x = 637,991.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.