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Finding the Third Proportional to 689,441,690 and 1,474,434,796

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Solution

The third proportional to 689,441,690 and 1,474,434,796 is: 3,153,215,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,441,690 : 1,474,434,796 = 1,474,434,796 : x
  2. Step 2: Convert to fraction form
    689,441,690/1,474,434,796 = 1,474,434,796/x
  3. Step 3: Cross multiply
    689,441,690x = 1,474,434,796 × 1,474,434,796
  4. Step 4: Simplify right side
    689,441,690x = 2,173,957,967,655,561,728
  5. Step 5: Solve for x
    x = 2,173,957,967,655,561,728/689,441,690
  6. Step 6: Final answer
    x = 3,153,215,129.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.