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Finding the Third Proportional to 123,166,858 and 172,194,517

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Solution

The third proportional to 123,166,858 and 172,194,517 is: 240,738,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,166,858 : 172,194,517 = 172,194,517 : x
  2. Step 2: Convert to fraction form
    123,166,858/172,194,517 = 172,194,517/x
  3. Step 3: Cross multiply
    123,166,858x = 172,194,517 × 172,194,517
  4. Step 4: Simplify right side
    123,166,858x = 29,650,951,684,863,288
  5. Step 5: Solve for x
    x = 29,650,951,684,863,288/123,166,858
  6. Step 6: Final answer
    x = 240,738,070.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.