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Finding the Third Proportional to 178,100,226 and 272,446,820

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Solution

The third proportional to 178,100,226 and 272,446,820 is: 416,772,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,100,226 : 272,446,820 = 272,446,820 : x
  2. Step 2: Convert to fraction form
    178,100,226/272,446,820 = 272,446,820/x
  3. Step 3: Cross multiply
    178,100,226x = 272,446,820 × 272,446,820
  4. Step 4: Simplify right side
    178,100,226x = 74,227,269,728,112,400
  5. Step 5: Solve for x
    x = 74,227,269,728,112,400/178,100,226
  6. Step 6: Final answer
    x = 416,772,462.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.