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Finding the Third Proportional to 420,719,098.50 and 628,723,930.50

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Solution

The third proportional to 420,719,098.50 and 628,723,930.50 is: 939,566,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,719,098.50 : 628,723,930.50 = 628,723,930.50 : x
  2. Step 2: Convert to fraction form
    420,719,098.50/628,723,930.50 = 628,723,930.50/x
  3. Step 3: Cross multiply
    420,719,098.50x = 628,723,930.50 × 628,723,930.50
  4. Step 4: Simplify right side
    420,719,098.50x = 395,293,780,783,368,832
  5. Step 5: Solve for x
    x = 395,293,780,783,368,832/420,719,098.50
  6. Step 6: Final answer
    x = 939,566,998.96

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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.