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Finding the Third Proportional to 261,288.50 and 381,850.50

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Solution

The third proportional to 261,288.50 and 381,850.50 is: 558,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,288.50 : 381,850.50 = 381,850.50 : x
  2. Step 2: Convert to fraction form
    261,288.50/381,850.50 = 381,850.50/x
  3. Step 3: Cross multiply
    261,288.50x = 381,850.50 × 381,850.50
  4. Step 4: Simplify right side
    261,288.50x = 145,809,804,350.25
  5. Step 5: Solve for x
    x = 145,809,804,350.25/261,288.50
  6. Step 6: Final answer
    x = 558,041.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.