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Finding the Third Proportional to 668,818,657 and 1,398,620,166

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Solution

The third proportional to 668,818,657 and 1,398,620,166 is: 2,924,766,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,818,657 : 1,398,620,166 = 1,398,620,166 : x
  2. Step 2: Convert to fraction form
    668,818,657/1,398,620,166 = 1,398,620,166/x
  3. Step 3: Cross multiply
    668,818,657x = 1,398,620,166 × 1,398,620,166
  4. Step 4: Simplify right side
    668,818,657x = 1,956,138,368,741,867,520
  5. Step 5: Solve for x
    x = 1,956,138,368,741,867,520/668,818,657
  6. Step 6: Final answer
    x = 2,924,766,449.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.