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Finding the Third Proportional to 278,138,025 and 579,165,640.50

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Solution

The third proportional to 278,138,025 and 579,165,640.50 is: 1,205,994,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,138,025 : 579,165,640.50 = 579,165,640.50 : x
  2. Step 2: Convert to fraction form
    278,138,025/579,165,640.50 = 579,165,640.50/x
  3. Step 3: Cross multiply
    278,138,025x = 579,165,640.50 × 579,165,640.50
  4. Step 4: Simplify right side
    278,138,025x = 335,432,839,135,775,232
  5. Step 5: Solve for x
    x = 335,432,839,135,775,232/278,138,025
  6. Step 6: Final answer
    x = 1,205,994,179.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.