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Finding the Third Proportional to 129,780 and 287,742

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Solution

The third proportional to 129,780 and 287,742 is: 637,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,780 : 287,742 = 287,742 : x
  2. Step 2: Convert to fraction form
    129,780/287,742 = 287,742/x
  3. Step 3: Cross multiply
    129,780x = 287,742 × 287,742
  4. Step 4: Simplify right side
    129,780x = 82,795,458,564
  5. Step 5: Solve for x
    x = 82,795,458,564/129,780
  6. Step 6: Final answer
    x = 637,967.78

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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.