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Finding the Third Proportional to 276,943,620 and 438,533,181

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Solution

The third proportional to 276,943,620 and 438,533,181 is: 694,406,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,943,620 : 438,533,181 = 438,533,181 : x
  2. Step 2: Convert to fraction form
    276,943,620/438,533,181 = 438,533,181/x
  3. Step 3: Cross multiply
    276,943,620x = 438,533,181 × 438,533,181
  4. Step 4: Simplify right side
    276,943,620x = 192,311,350,837,978,752
  5. Step 5: Solve for x
    x = 192,311,350,837,978,752/276,943,620
  6. Step 6: Final answer
    x = 694,406,142.44

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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.