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Finding the Third Proportional to 276,312.50 and 412,757

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Solution

The third proportional to 276,312.50 and 412,757 is: 616,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,312.50 : 412,757 = 412,757 : x
  2. Step 2: Convert to fraction form
    276,312.50/412,757 = 412,757/x
  3. Step 3: Cross multiply
    276,312.50x = 412,757 × 412,757
  4. Step 4: Simplify right side
    276,312.50x = 170,368,341,049
  5. Step 5: Solve for x
    x = 170,368,341,049/276,312.50
  6. Step 6: Final answer
    x = 616,578.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.