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Finding the Third Proportional to 178,409,311 and 251,243,420

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Solution

The third proportional to 178,409,311 and 251,243,420 is: 353,811,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,409,311 : 251,243,420 = 251,243,420 : x
  2. Step 2: Convert to fraction form
    178,409,311/251,243,420 = 251,243,420/x
  3. Step 3: Cross multiply
    178,409,311x = 251,243,420 × 251,243,420
  4. Step 4: Simplify right side
    178,409,311x = 63,123,256,093,296,400
  5. Step 5: Solve for x
    x = 63,123,256,093,296,400/178,409,311
  6. Step 6: Final answer
    x = 353,811,444.81

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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.