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Finding the Third Proportional to 261,280.69 and 381,839.06

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Solution

The third proportional to 261,280.69 and 381,839.06 is: 558,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,280.69 : 381,839.06 = 381,839.06 : x
  2. Step 2: Convert to fraction form
    261,280.69/381,839.06 = 381,839.06/x
  3. Step 3: Cross multiply
    261,280.69x = 381,839.06 × 381,839.06
  4. Step 4: Simplify right side
    261,280.69x = 145,801,069,650.88
  5. Step 5: Solve for x
    x = 145,801,069,650.88/261,280.69
  6. Step 6: Final answer
    x = 558,024.67

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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.