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Finding the Third Proportional to 172,511.25 and 264,790.50

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Solution

The third proportional to 172,511.25 and 264,790.50 is: 406,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,511.25 : 264,790.50 = 264,790.50 : x
  2. Step 2: Convert to fraction form
    172,511.25/264,790.50 = 264,790.50/x
  3. Step 3: Cross multiply
    172,511.25x = 264,790.50 × 264,790.50
  4. Step 4: Simplify right side
    172,511.25x = 70,114,008,890.25
  5. Step 5: Solve for x
    x = 70,114,008,890.25/172,511.25
  6. Step 6: Final answer
    x = 406,431.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.