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Finding the Third Proportional to 665,589,713 and 1,420,217,917

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Solution

The third proportional to 665,589,713 and 1,420,217,917 is: 3,030,423,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,589,713 : 1,420,217,917 = 1,420,217,917 : x
  2. Step 2: Convert to fraction form
    665,589,713/1,420,217,917 = 1,420,217,917/x
  3. Step 3: Cross multiply
    665,589,713x = 1,420,217,917 × 1,420,217,917
  4. Step 4: Simplify right side
    665,589,713x = 2,017,018,931,767,819,008
  5. Step 5: Solve for x
    x = 2,017,018,931,767,819,008/665,589,713
  6. Step 6: Final answer
    x = 3,030,423,836.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.