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Finding the Third Proportional to 131,511.19 and 287,631.38

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Solution

The third proportional to 131,511.19 and 287,631.38 is: 629,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,511.19 : 287,631.38 = 287,631.38 : x
  2. Step 2: Convert to fraction form
    131,511.19/287,631.38 = 287,631.38/x
  3. Step 3: Cross multiply
    131,511.19x = 287,631.38 × 287,631.38
  4. Step 4: Simplify right side
    131,511.19x = 82,731,807,884.39
  5. Step 5: Solve for x
    x = 82,731,807,884.39/131,511.19
  6. Step 6: Final answer
    x = 629,085.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.