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Finding the Third Proportional to 276,943,414.50 and 438,532,805.25

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Solution

The third proportional to 276,943,414.50 and 438,532,805.25 is: 694,405,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,943,414.50 : 438,532,805.25 = 438,532,805.25 : x
  2. Step 2: Convert to fraction form
    276,943,414.50/438,532,805.25 = 438,532,805.25/x
  3. Step 3: Cross multiply
    276,943,414.50x = 438,532,805.25 × 438,532,805.25
  4. Step 4: Simplify right side
    276,943,414.50x = 192,311,021,280,434,432
  5. Step 5: Solve for x
    x = 192,311,021,280,434,432/276,943,414.50
  6. Step 6: Final answer
    x = 694,405,467.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.