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Finding the Third Proportional to 123,166,852 and 172,194,509

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Solution

The third proportional to 123,166,852 and 172,194,509 is: 240,738,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,166,852 : 172,194,509 = 172,194,509 : x
  2. Step 2: Convert to fraction form
    123,166,852/172,194,509 = 172,194,509/x
  3. Step 3: Cross multiply
    123,166,852x = 172,194,509 × 172,194,509
  4. Step 4: Simplify right side
    123,166,852x = 29,650,948,929,751,080
  5. Step 5: Solve for x
    x = 29,650,948,929,751,080/123,166,852
  6. Step 6: Final answer
    x = 240,738,059.37

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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.