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Finding the Third Proportional to 205,535,436.75 and 279,951,855.75

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Solution

The third proportional to 205,535,436.75 and 279,951,855.75 is: 381,311,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,535,436.75 : 279,951,855.75 = 279,951,855.75 : x
  2. Step 2: Convert to fraction form
    205,535,436.75/279,951,855.75 = 279,951,855.75/x
  3. Step 3: Cross multiply
    205,535,436.75x = 279,951,855.75 × 279,951,855.75
  4. Step 4: Simplify right side
    205,535,436.75x = 78,373,041,537,868,816
  5. Step 5: Solve for x
    x = 78,373,041,537,868,816/205,535,436.75
  6. Step 6: Final answer
    x = 381,311,577.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.