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Finding the Third Proportional to 123,166,869 and 172,194,529.50

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Solution

The third proportional to 123,166,869 and 172,194,529.50 is: 240,738,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,166,869 : 172,194,529.50 = 172,194,529.50 : x
  2. Step 2: Convert to fraction form
    123,166,869/172,194,529.50 = 172,194,529.50/x
  3. Step 3: Cross multiply
    123,166,869x = 172,194,529.50 × 172,194,529.50
  4. Step 4: Simplify right side
    123,166,869x = 29,650,955,989,726,372
  5. Step 5: Solve for x
    x = 29,650,955,989,726,372/123,166,869
  6. Step 6: Final answer
    x = 240,738,083.47

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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.