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Finding the Third Proportional to 123,305,396.50 and 268,317,509.50

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Solution

The third proportional to 123,305,396.50 and 268,317,509.50 is: 583,869,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,305,396.50 : 268,317,509.50 = 268,317,509.50 : x
  2. Step 2: Convert to fraction form
    123,305,396.50/268,317,509.50 = 268,317,509.50/x
  3. Step 3: Cross multiply
    123,305,396.50x = 268,317,509.50 × 268,317,509.50
  4. Step 4: Simplify right side
    123,305,396.50x = 71,994,285,904,282,592
  5. Step 5: Solve for x
    x = 71,994,285,904,282,592/123,305,396.50
  6. Step 6: Final answer
    x = 583,869,708.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.