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Finding the Third Proportional to 178,519,709 and 275,858,463

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Solution

The third proportional to 178,519,709 and 275,858,463 is: 426,271,653.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,519,709 : 275,858,463 = 275,858,463 : x
  2. Step 2: Convert to fraction form
    178,519,709/275,858,463 = 275,858,463/x
  3. Step 3: Cross multiply
    178,519,709x = 275,858,463 × 275,858,463
  4. Step 4: Simplify right side
    178,519,709x = 76,097,891,608,722,368
  5. Step 5: Solve for x
    x = 76,097,891,608,722,368/178,519,709
  6. Step 6: Final answer
    x = 426,271,653.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.