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Finding the Third Proportional to 278,138,025 and 579,165,642

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Solution

The third proportional to 278,138,025 and 579,165,642 is: 1,205,994,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,138,025 : 579,165,642 = 579,165,642 : x
  2. Step 2: Convert to fraction form
    278,138,025/579,165,642 = 579,165,642/x
  3. Step 3: Cross multiply
    278,138,025x = 579,165,642 × 579,165,642
  4. Step 4: Simplify right side
    278,138,025x = 335,432,840,873,272,192
  5. Step 5: Solve for x
    x = 335,432,840,873,272,192/278,138,025
  6. Step 6: Final answer
    x = 1,205,994,185.34

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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.