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Finding the Third Proportional to 261,329.50 and 368,021.25

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Solution

The third proportional to 261,329.50 and 368,021.25 is: 518,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,329.50 : 368,021.25 = 368,021.25 : x
  2. Step 2: Convert to fraction form
    261,329.50/368,021.25 = 368,021.25/x
  3. Step 3: Cross multiply
    261,329.50x = 368,021.25 × 368,021.25
  4. Step 4: Simplify right side
    261,329.50x = 135,439,640,451.56
  5. Step 5: Solve for x
    x = 135,439,640,451.56/261,329.50
  6. Step 6: Final answer
    x = 518,271.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.