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Finding the Third Proportional to 665,589,711 and 1,420,217,913

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Solution

The third proportional to 665,589,711 and 1,420,217,913 is: 3,030,423,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,589,711 : 1,420,217,913 = 1,420,217,913 : x
  2. Step 2: Convert to fraction form
    665,589,711/1,420,217,913 = 1,420,217,913/x
  3. Step 3: Cross multiply
    665,589,711x = 1,420,217,913 × 1,420,217,913
  4. Step 4: Simplify right side
    665,589,711x = 2,017,018,920,406,075,648
  5. Step 5: Solve for x
    x = 2,017,018,920,406,075,648/665,589,711
  6. Step 6: Final answer
    x = 3,030,423,828.78

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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.