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Finding the Third Proportional to 178,409,311.50 and 251,243,421

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Solution

The third proportional to 178,409,311.50 and 251,243,421 is: 353,811,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,409,311.50 : 251,243,421 = 251,243,421 : x
  2. Step 2: Convert to fraction form
    178,409,311.50/251,243,421 = 251,243,421/x
  3. Step 3: Cross multiply
    178,409,311.50x = 251,243,421 × 251,243,421
  4. Step 4: Simplify right side
    178,409,311.50x = 63,123,256,595,783,240
  5. Step 5: Solve for x
    x = 63,123,256,595,783,240/178,409,311.50
  6. Step 6: Final answer
    x = 353,811,446.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.