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Finding the Third Proportional to 237,632,935.50 and 378,120,631.50

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Solution

The third proportional to 237,632,935.50 and 378,120,631.50 is: 601,664,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,632,935.50 : 378,120,631.50 = 378,120,631.50 : x
  2. Step 2: Convert to fraction form
    237,632,935.50/378,120,631.50 = 378,120,631.50/x
  3. Step 3: Cross multiply
    237,632,935.50x = 378,120,631.50 × 378,120,631.50
  4. Step 4: Simplify right side
    237,632,935.50x = 142,975,211,965,958,800
  5. Step 5: Solve for x
    x = 142,975,211,965,958,800/237,632,935.50
  6. Step 6: Final answer
    x = 601,664,123.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.